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12304212032112 = 243711133180910211
BaseRepresentation
bin1011001100001100110000…
…1011111111101001110000
31121120021022200200112100220
42303003030023333221300
53103043011240011422
642100251005413040
72406643562431020
oct263031413775160
947507280615326
1012304212032112
113a14206a16180
12146877b86a180
136b338904a990
143077542a9a80
151650da288e5c
hexb30cc2ffa70

12304212032112 has 640 divisors, whose sum is σ = 44113016586240. Its totient is φ = 2851089408000.

The previous prime is 12304212032083. The next prime is 12304212032227. The reversal of 12304212032112 is 21123021240321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204990687 + ... + 1205000897.

It is an arithmetic number, because the mean of its divisors is an integer number (68926588416).

Almost surely, 212304212032112 is an apocalyptic number.

12304212032112 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 12304212032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056508293120).

12304212032112 is an abundant number, since it is smaller than the sum of its proper divisors (31808804554128).

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

12304212032112 is a wasteful number, since it uses less digits than its factorization.

12304212032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12304212032112 its reverse (21123021240321), we get a palindrome (33427233272433).

The spelling of 12304212032112 in words is "twelve trillion, three hundred four billion, two hundred twelve million, thirty-two thousand, one hundred twelve".