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12220130013000 = 2335371344762381
BaseRepresentation
bin1011000111010011100010…
…0000100010111101001000
31121021020021212112101211220
42301310320200202331020
53100203311240404000
641553503352122040
72400606133160040
oct261647040427510
947236255471756
1012220130013000
1139915898a5788
121454414996320
136a8479308050
1430365934a720
15162d187431a0
hexb1d38822f48

12220130013000 has 256 divisors, whose sum is σ = 46925300298240. Its totient is φ = 2578313088000.

The previous prime is 12220130012989. The next prime is 12220130013011. The reversal of 12220130013000 is 31003102221.

It is an interprime number because it is at equal distance from previous prime (12220130012989) and next prime (12220130013011).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22108191 + ... + 22654190.

It is an arithmetic number, because the mean of its divisors is an integer number (183301954290).

Almost surely, 212220130013000 is an apocalyptic number.

12220130013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220130013000 is an abundant number, since it is smaller than the sum of its proper divisors (34705170285240).

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

12220130013000 is a wasteful number, since it uses less digits than its factorization.

12220130013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44762425 (or 44762411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12220130013000 its reverse (31003102221), we get a palindrome (12251133115221).

The spelling of 12220130013000 in words is "twelve trillion, two hundred twenty billion, one hundred thirty million, thirteen thousand".