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12210120310020 = 223529307106321503
BaseRepresentation
bin1011000110101110001111…
…1000100011110100000100
31121020021110021111210201220
42301223203320203310010
53100022311244410040
641545130221320340
72400103110123363
oct261534370436404
947207407453656
1012210120310020
113988312663786
1214524a07060b0
136a7542601289
14302d89bbd7da
1516292eaba2d0
hexb1ae3e23d04

12210120310020 has 192 divisors, whose sum is σ = 35517478993920. Its totient is φ = 3130421478912.

The previous prime is 12210120310019. The next prime is 12210120310127. The reversal of 12210120310020 is 2001302101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567822589 + ... + 567844091.

It is an arithmetic number, because the mean of its divisors is an integer number (184986869760).

Almost surely, 212210120310020 is an apocalyptic number.

12210120310020 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 12210120310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758739496960).

12210120310020 is an abundant number, since it is smaller than the sum of its proper divisors (23307358683900).

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

12210120310020 is a wasteful number, since it uses less digits than its factorization.

12210120310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22914 (or 22912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12210120310020 its reverse (2001302101221), we get a palindrome (14211422411241).

The spelling of 12210120310020 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, three hundred ten thousand, twenty".