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12234881520 = 243454873877
BaseRepresentation
bin10110110010100000…
…10111100111110000
31011120200002101020000
423121100113213300
5200024112202040
65342015550000
7612122530341
oct133120274760
934520071200
1012234881520
1152092a9634
12245552b300
1311cca12984
14840cc00c8
154b91ba130
hex2d94179f0

12234881520 has 200 divisors, whose sum is σ = 42591794784. Its totient is φ = 3255095808.

The previous prime is 12234881497. The next prime is 12234881573. The reversal of 12234881520 is 2518843221.

It is a happy number.

12234881520 is a `hidden beast` number, since 1 + 2 + 23 + 488 + 152 + 0 = 666.

12234881520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3153822 + ... + 3157698.

Almost surely, 212234881520 is an apocalyptic number.

12234881520 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 12234881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21295897392).

12234881520 is an abundant number, since it is smaller than the sum of its proper divisors (30356913264).

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

12234881520 is a wasteful number, since it uses less digits than its factorization.

12234881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12234881520 in words is "twelve billion, two hundred thirty-four million, eight hundred eighty-one thousand, five hundred twenty".