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12312231144 = 2335326935983
BaseRepresentation
bin10110111011101110…
…11011110011101000
31011210001122010221220
423131313123303220
5200203412344034
65353421502040
7614052144423
oct133567336350
934701563856
1012312231144
115248a2a544
122477411920
131212a55895
1484b2969ba
154c0d98749
hex2ddddbce8

12312231144 has 64 divisors (see below), whose sum is σ = 31478803200. Its totient is φ = 4011561216.

The previous prime is 12312231143. The next prime is 12312231193. The reversal of 12312231144 is 44113221321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12312231143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324177 + ... + 360159.

It is an arithmetic number, because the mean of its divisors is an integer number (491856300).

Almost surely, 212312231144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312231144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739401600).

12312231144 is an abundant number, since it is smaller than the sum of its proper divisors (19166572056).

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

12312231144 is a wasteful number, since it uses less digits than its factorization.

12312231144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36314 (or 36310 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12312231144 its reverse (44113221321), we get a palindrome (56425452465).

The spelling of 12312231144 in words is "twelve billion, three hundred twelve million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 269 318 424 538 636 807 1076 1272 1614 2152 3228 6456 14257 28514 35983 42771 57028 71966 85542 107949 114056 143932 171084 215898 287864 342168 431796 863592 1907099 3814198 5721297 7628396 9679427 11442594 15256792 19358854 22885188 29038281 38717708 45770376 58076562 77435416 116153124 232306248 513009631 1026019262 1539028893 2052038524 3078057786 4104077048 6156115572 12312231144