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12230010100000 = 25557111739181
BaseRepresentation
bin1011000111111000010101…
…1010000101100100100000
31121022011210102122211021001
42301332011122011210200
53100334030041200000
642002220012441344
72401406023422310
oct261760532054440
947264712584231
1012230010100000
113995799958340
121456311779254
136a93921cc084
14303d155b7440
151631e5d1646a
hexb1f85685920

12230010100000 has 576 divisors, whose sum is σ = 37742490825984. Its totient is φ = 3789504000000.

The previous prime is 12230010099977. The next prime is 12230010100001. The reversal of 12230010100000 is 101003221.

It is a super-2 number, since 2×122300101000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12230010100000.

It is not an unprimeable number, because it can be changed into a prime (12230010100001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1332095410 + ... + 1332104590.

It is an arithmetic number, because the mean of its divisors is an integer number (65525157684).

Almost surely, 212230010100000 is an apocalyptic number.

12230010100000 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 12230010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18871245412992).

12230010100000 is an abundant number, since it is smaller than the sum of its proper divisors (25512480725984).

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

12230010100000 is an equidigital number, since it uses as much as digits as its factorization.

12230010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12230010100000 its reverse (101003221), we get a palindrome (12230111103221).

The spelling of 12230010100000 in words is "twelve trillion, two hundred thirty billion, ten million, one hundred thousand".