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12020042432100 = 22352131305853497
BaseRepresentation
bin1010111011101010001001…
…0110111111111001100100
31120120002211102110010221110
42232322202112333321210
53033414021330311400
641321533052545020
72350263566614113
oct256724226777144
946502742403843
1012020042432100
11391474265577a
121421693a82170
1369263cb03071
142d7ab778bc7a
1515ca0776de50
hexaeea25bfe64

12020042432100 has 72 divisors (see below), whose sum is σ = 35043470386848. Its totient is φ = 3180876358400.

The previous prime is 12020042432089. The next prime is 12020042432143. The reversal of 12020042432100 is 123424002021.

It is a super-2 number, since 2×120200424321002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152887449 + ... + 152966048.

It is an arithmetic number, because the mean of its divisors is an integer number (486714866484).

Almost surely, 212020042432100 is an apocalyptic number.

12020042432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020042432100 is an abundant number, since it is smaller than the sum of its proper divisors (23023427954748).

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

12020042432100 is a wasteful number, since it uses less digits than its factorization.

12020042432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305853645 (or 305853638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12020042432100 its reverse (123424002021), we get a palindrome (12143466434121).

The spelling of 12020042432100 in words is "twelve trillion, twenty billion, forty-two million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 305853497 611706994 917560491 1223413988 1529267485 1835120982 3058534970 3670241964 4587802455 6117069940 7646337425 9175604910 15292674850 18351209820 22939012275 30585349700 40066808107 45878024550 80133616214 91756049100 120200424321 160267232428 200334040535 240400848642 400668081070 480801697284 601002121605 801336162140 1001670202675 1202004243210 2003340405350 2404008486420 3005010608025 4006680810700 6010021216050 12020042432100