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12100212102220 = 225112910118778069
BaseRepresentation
bin1011000000010100110011…
…0110000001010001001100
31120211202202120211100120221
42300011030312001101030
53041222213244232340
641422432151121124
72356132351561564
oct260051466012114
946752676740527
1012100212102220
1139457423094a0
1214351286731a4
1369a078132ca8
142db920c91da4
1515eb4aaa544a
hexb014cd8144c

12100212102220 has 96 divisors (see below), whose sum is σ = 28960290676800. Its totient is φ = 4206287232000.

The previous prime is 12100212102197. The next prime is 12100212102229. The reversal of 12100212102220 is 2220121200121.

It is a happy number.

It is a super-2 number, since 2×121002121022202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100212102194 and 12100212102203.

It is not an unprimeable number, because it can be changed into a prime (12100212102229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8744655 + ... + 10033414.

It is an arithmetic number, because the mean of its divisors is an integer number (301669694550).

Almost surely, 212100212102220 is an apocalyptic number.

12100212102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100212102220 is an abundant number, since it is smaller than the sum of its proper divisors (16860078574580).

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

12100212102220 is a wasteful number, since it uses less digits than its factorization.

12100212102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18778219 (or 18778217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12100212102220 its reverse (2220121200121), we get a palindrome (14320333302341).

The spelling of 12100212102220 in words is "twelve trillion, one hundred billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3190 4444 5555 5858 6380 11110 11716 14645 22220 29290 32219 58580 64438 128876 161095 322190 644380 18778069 37556138 75112276 93890345 187780690 206558759 375561380 413117518 544564001 826235036 1032793795 1089128002 1896584969 2065587590 2178256004 2722820005 3793169938 4131175180 5445640010 5990204011 7586339876 9482924845 10891280020 11980408022 18965849690 20862434659 23960816044 29951020055 37931699380 41724869318 55000964101 59902040110 83449738636 104312173295 110001928202 119804080220 208624346590 220003856404 275004820505 417248693180 550009641010 605010605111 1100019282020 1210021210222 2420042420444 3025053025555 6050106051110 12100212102220