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12242112300 = 2232521119371759
BaseRepresentation
bin10110110011010111…
…11100111100101100
31011121011200201222200
423121223330330230
5200032440043200
65342434541500
7612241144335
oct133153747454
934534621880
1012242112300
115212398190
122457a37890
131201374c42
14841c4328c
154b9b47800
hex2d9afcf2c

12242112300 has 432 divisors, whose sum is σ = 45280435200. Its totient is φ = 2734041600.

The previous prime is 12242112299. The next prime is 12242112343. The reversal of 12242112300 is 321124221.

It is a happy number.

12242112300 is a `hidden beast` number, since 1 + 224 + 211 + 230 + 0 = 666.

It is a super-2 number, since 2×122421123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6958821 + ... + 6960579.

Almost surely, 212242112300 is an apocalyptic number.

12242112300 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 12242112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640217600).

12242112300 is an abundant number, since it is smaller than the sum of its proper divisors (33038322900).

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

12242112300 is a wasteful number, since it uses less digits than its factorization.

12242112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12242112300 its reverse (321124221), we get a palindrome (12563236521).

The spelling of 12242112300 in words is "twelve billion, two hundred forty-two million, one hundred twelve thousand, three hundred".