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12111221120220 = 223251314091255801
BaseRepresentation
bin1011000000111101110100…
…0010000101110011011100
31120212211011211020102012100
42300033131002011303130
53041412240101321340
641431452420405100
72360002230644145
oct260173502056334
946784154212170
1012111221120220
11394a381646682
12143729b546790
1369b110b97221
142dc28702cacc
15160092326830
hexb03dd085cdc

12111221120220 has 144 divisors (see below), whose sum is σ = 37108346315040. Its totient is φ = 3197166336000.

The previous prime is 12111221120213. The next prime is 12111221120231. The reversal of 12111221120220 is 2202112211121.

12111221120220 is a `hidden beast` number, since 1 + 211 + 1 + 2 + 211 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12111221120193 and 12111221120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9016320 + ... + 10272120.

It is an arithmetic number, because the mean of its divisors is an integer number (257696849410).

Almost surely, 212111221120220 is an apocalyptic number.

12111221120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111221120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554173157520).

12111221120220 is an abundant number, since it is smaller than the sum of its proper divisors (24997125194820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111221120220 is a wasteful number, since it uses less digits than its factorization.

12111221120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256356 (or 1256351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12111221120220 its reverse (2202112211121), we get a palindrome (14313333331341).

The spelling of 12111221120220 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 409 524 655 786 818 1179 1227 1310 1572 1636 1965 2045 2358 2454 2620 3681 3930 4090 4716 4908 5895 6135 7362 7860 8180 11790 12270 14724 18405 23580 24540 36810 53579 73620 107158 160737 214316 267895 321474 482211 535790 642948 803685 964422 1071580 1255801 1607370 1928844 2411055 2511602 3214740 3767403 4822110 5023204 6279005 7534806 9644220 11302209 12558010 15069612 18837015 22604418 25116020 37674030 45208836 56511045 75348060 113022090 164509931 226044180 329019862 493529793 513622609 658039724 822549655 987059586 1027245218 1480589379 1540867827 1645099310 1974119172 2054490436 2467648965 2568113045 2961178758 3081735654 3290198620 4622603481 4935297930 5136226090 5922357516 6163471308 7402946895 7704339135 9245206962 9870595860 10272452180 14805893790 15408678270 18490413924 23113017405 29611787580 30817356540 46226034810 67284561779 92452069620 134569123558 201853685337 269138247116 336422808895 403707370674 605561056011 672845617790 807414741348 1009268426685 1211122112022 1345691235580 2018536853370 2422244224044 3027805280055 4037073706740 6055610560110 12111221120220