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12434024120 = 2357397111857
BaseRepresentation
bin10111001010010000…
…00010011010111000
31012002112210212111212
423211020002122320
5200431102232440
65413452142252
7620061314120
oct134510023270
935075725455
1012434024120
1153007563a1
1224b0167988
13123205992b
1485d51bc80
154cb905465
hex2e52026b8

12434024120 has 64 divisors (see below), whose sum is σ = 32054028480. Its totient is φ = 4252317696.

The previous prime is 12434024117. The next prime is 12434024153. The reversal of 12434024120 is 2142043421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55232 + ... + 167088.

It is an arithmetic number, because the mean of its divisors is an integer number (500844195).

Almost surely, 212434024120 is an apocalyptic number.

12434024120 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 12434024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027014240).

12434024120 is an abundant number, since it is smaller than the sum of its proper divisors (19620004360).

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

12434024120 is a wasteful number, since it uses less digits than its factorization.

12434024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112272 (or 112268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12434024120 its reverse (2142043421), we get a palindrome (14576067541).

The spelling of 12434024120 in words is "twelve billion, four hundred thirty-four million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 397 794 1588 1985 2779 3176 3970 5558 7940 11116 13895 15880 22232 27790 55580 111160 111857 223714 447428 559285 782999 894856 1118570 1565998 2237140 3131996 3914995 4474280 6263992 7829990 15659980 31319960 44407229 88814458 177628916 222036145 310850603 355257832 444072290 621701206 888144580 1243402412 1554253015 1776289160 2486804824 3108506030 6217012060 12434024120