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12312232332 = 22319372116917
BaseRepresentation
bin10110111011101110…
…11100000110001100
31011210001122012120220
423131313130012030
5200203412413312
65353421511340
7614052151041
oct133567340614
934701565526
1012312232332
115248a30424
122477412550
131212a5629a
1484b2971c8
154c0d98c8c
hex2ddddc18c

12312232332 has 96 divisors (see below), whose sum is σ = 31209588480. Its totient is φ = 3764517120.

The previous prime is 12312232291. The next prime is 12312232349. The reversal of 12312232332 is 23323221321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776538 + ... + 1783454.

It is an arithmetic number, because the mean of its divisors is an integer number (325099880).

Almost surely, 212312232332 is an apocalyptic number.

12312232332 is a gapful number since it is divisible by the number (12) 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 12312232332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604794240).

12312232332 is an abundant number, since it is smaller than the sum of its proper divisors (18897356148).

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

12312232332 is a wasteful number, since it uses less digits than its factorization.

12312232332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7189 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12312232332 its reverse (23323221321), we get a palindrome (35635453653).

The spelling of 12312232332 in words is "twelve billion, three hundred twelve million, two hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 211 222 228 422 444 633 703 844 1266 1406 2109 2532 2812 4009 4218 6917 7807 8018 8436 12027 13834 15614 16036 20751 23421 24054 27668 31228 41502 46842 48108 83004 93684 131423 148333 255929 262846 296666 394269 444999 511858 525692 593332 767787 788538 889998 1023716 1459487 1535574 1577076 1779996 2918974 3071148 4378461 4862651 5837948 8756922 9725302 14587953 17513844 19450604 27730253 29175906 54001019 55460506 58351812 83190759 108002038 110921012 162003057 166381518 216004076 324006114 332763036 648012228 1026019361 2052038722 3078058083 4104077444 6156116166 12312232332