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12013213200 = 24352174153271
BaseRepresentation
bin10110011000000101…
…10001011000010000
31011000012222110110020
423030002301120100
5144100340310300
65304020503440
7603461425122
oct131402613020
934005873406
1012013213200
11510516697a
1223b324ab80
131195b0caa1
1481d69b212
154a49d08a0
hex2cc0b1610

12013213200 has 480 divisors, whose sum is σ = 42684268032. Its totient is φ = 2875392000.

The previous prime is 12013213187. The next prime is 12013213211. The reversal of 12013213200 is 231231021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12013213200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44329065 + ... + 44329335.

Almost surely, 212013213200 is an apocalyptic number.

12013213200 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 12013213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21342134016).

12013213200 is an abundant number, since it is smaller than the sum of its proper divisors (30671054832).

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

12013213200 is a wasteful number, since it uses less digits than its factorization.

12013213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

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

Adding to 12013213200 its reverse (231231021), we get a palindrome (12244444221).

The spelling of 12013213200 in words is "twelve billion, thirteen million, two hundred thirteen thousand, two hundred".