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12431214124 = 22729109140453
BaseRepresentation
bin10111001001111010…
…10100011000101100
31012002100112002220221
423210331110120230
5200424342322444
65413312021124
7620025401530
oct134475243054
935070462827
1012431214124
1152aa10718a
1224ab2317a4
1312315b4904
1485cdc9bc0
154cb54ca84
hex2e4f5462c

12431214124 has 48 divisors (see below), whose sum is σ = 25955899200. Its totient is φ = 5096722176.

The previous prime is 12431214101. The next prime is 12431214127. The reversal of 12431214124 is 42141213421.

12431214124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12431214127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18282 + ... + 158734.

It is an arithmetic number, because the mean of its divisors is an integer number (540747900).

Almost surely, 212431214124 is an apocalyptic number.

12431214124 is a gapful number since it is divisible by the number (14) 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 12431214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977949600).

12431214124 is an abundant number, since it is smaller than the sum of its proper divisors (13524685076).

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

12431214124 is a wasteful number, since it uses less digits than its factorization.

12431214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140602 (or 140600 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 12431214124 its reverse (42141213421), we get a palindrome (54572427545).

The spelling of 12431214124 in words is "twelve billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 109 116 203 218 406 436 763 812 1526 3052 3161 6322 12644 22127 44254 88508 140453 280906 561812 983171 1966342 3932684 4073137 8146274 15309377 16292548 28511959 30618754 57023918 61237508 107165639 114047836 214331278 428662556 443971933 887943866 1775887732 3107803531 6215607062 12431214124