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12202113000000 = 26356711101523
BaseRepresentation
bin1011000110010000011010…
…0111000110001001000000
31121012111210020100022101010
42301210012213012021000
53044404411412000000
641541323501040520
72366400510116250
oct261440647061100
947174706308333
1012202113000000
1139849837531a0
121450a26b56140
136a68676cbb01
1430282a571960
15162611b28d50
hexb19069c6240

12202113000000 has 1568 divisors, whose sum is σ = 50908568361984. Its totient is φ = 2505600000000.

The previous prime is 12202112999971. The next prime is 12202113000017. The reversal of 12202113000000 is 31120221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12202113000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23330999739 + ... + 23331000261.

Almost surely, 212202113000000 is an apocalyptic number.

12202113000000 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 12202113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454284180992).

12202113000000 is an abundant number, since it is smaller than the sum of its proper divisors (38706455361984).

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

12202113000000 is an equidigital number, since it uses as much as digits as its factorization.

12202113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12202113000000 its reverse (31120221), we get a palindrome (12202144120221).

The spelling of 12202113000000 in words is "twelve trillion, two hundred two billion, one hundred thirteen million", and thus it is an aban number.