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12102455232 = 2632719239661
BaseRepresentation
bin10110100010101110…
…01100111111000000
31011020102220102111200
423101113030333000
5144241212031412
65320525341200
7605624113020
oct132127147700
934212812450
1012102455232
11515057a81a
122419107800
1311ab457a1a
1482b48ba80
154ac75c9dc
hex2d15ccfc0

12102455232 has 336 divisors, whose sum is σ = 41969740800. Its totient is φ = 3257210880.

The previous prime is 12102455207. The next prime is 12102455257. The reversal of 12102455232 is 23255420121.

12102455232 is a `hidden beast` number, since 1 + 2 + 102 + 4 + 552 + 3 + 2 = 666.

12102455232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102455207) and next prime (12102455257).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 12102455196 and 12102455205.

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 47 ways as a sum of consecutive naturals, for example, 18308982 + ... + 18309642.

Almost surely, 212102455232 is an apocalyptic number.

12102455232 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 12102455232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984870400).

12102455232 is an abundant number, since it is smaller than the sum of its proper divisors (29867285568).

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

12102455232 is a wasteful number, since it uses less digits than its factorization.

12102455232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12102455232 its reverse (23255420121), we get a palindrome (35357875353).

The spelling of 12102455232 in words is "twelve billion, one hundred two million, four hundred fifty-five thousand, two hundred thirty-two".