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12201102221120 = 265172887776879
BaseRepresentation
bin1011000110001100101001…
…0111010001111101000000
31121012102011210101102102022
42301203022113101331000
53044400324132033440
641541035312341012
72366333454463121
oct261431227217500
947172153342368
1012201102221120
11398450513804a
1214507a4544768
136a67361896b7
1430277221a048
151625a3018cb5
hexb18ca5d1f40

12201102221120 has 112 divisors (see below), whose sum is σ = 30773621399040. Its totient is φ = 4591759171584.

The previous prime is 12201102221111. The next prime is 12201102221149. The reversal of 12201102221120 is 2112220110221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15316841 + ... + 16093719.

Almost surely, 212201102221120 is an apocalyptic number.

12201102221120 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 12201102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386810699520).

12201102221120 is an abundant number, since it is smaller than the sum of its proper divisors (18572519177920).

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

12201102221120 is a wasteful number, since it uses less digits than its factorization.

12201102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779800 (or 779790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12201102221120 its reverse (2112220110221), we get a palindrome (14313322331341).

The spelling of 12201102221120 in words is "twelve trillion, two hundred one billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 2887 5440 5774 11548 14435 23096 28870 46192 49079 57740 92384 98158 115480 184768 196316 230960 245395 392632 461920 490790 776879 785264 923840 981580 1553758 1570528 1963160 3107516 3141056 3884395 3926320 6215032 7768790 7852640 12430064 13206943 15537580 15705280 24860128 26413886 31075160 49720256 52827772 62150320 66034715 105655544 124300640 132069430 211311088 248601280 264138860 422622176 528277720 845244352 1056555440 2113110880 2242849673 4226221760 4485699346 8971398692 11214248365 17942797384 22428496730 35885594768 38128444441 44856993460 71771189536 76256888882 89713986920 143542379072 152513777764 179427973840 190642222205 305027555528 358855947680 381284444410 610055111056 717711895360 762568888820 1220110222112 1525137777640 2440220444224 3050275555280 6100551110560 12201102221120