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12020133203232 = 25371110611532611
BaseRepresentation
bin1010111011101010011111…
…0001010000110100100000
31120120010001202020210112020
42232322213301100310200
53033414213100000412
641321550054301440
72350266051301020
oct256724761206440
946503052223466
1012020133203232
113914789913440
1214216ba357880
13692655864cab
142d7ac5859a80
1515ca106ee18c
hexaeea7c50d20

12020133203232 has 192 divisors, whose sum is σ = 39375720373248. Its totient is φ = 3119167872000.

The previous prime is 12020133203227. The next prime is 12020133203257. The reversal of 12020133203232 is 23230233102021.

It is a super-3 number, since 3×120201332032323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7076607 + ... + 8609217.

It is an arithmetic number, because the mean of its divisors is an integer number (205081876944).

Almost surely, 212020133203232 is an apocalyptic number.

12020133203232 is a gapful number since it is divisible by the number (12) 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 12020133203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687860186624).

12020133203232 is an abundant number, since it is smaller than the sum of its proper divisors (27355587170016).

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

12020133203232 is a wasteful number, since it uses less digits than its factorization.

12020133203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533703 (or 1533695 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12020133203232 its reverse (23230233102021), we get a palindrome (35250366305253).

The spelling of 12020133203232 in words is "twelve trillion, twenty billion, one hundred thirty-three million, two hundred three thousand, two hundred thirty-two".