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12003342132 = 22313715148353
BaseRepresentation
bin10110010110111010…
…00111011100110100
31010222112101221220010
423023131013130310
5144040323422012
65303025140220
7603311503365
oct131335073464
933875357803
1012003342132
1150aa634671
1223aba8a670
131193a64b12
1481c24bb6c
154a3bd0c3c
hex2cb747734

12003342132 has 48 divisors (see below), whose sum is σ = 28399658112. Its totient is φ = 3945523200.

The previous prime is 12003342119. The next prime is 12003342151. The reversal of 12003342132 is 23124330021.

It is a junction number, because it is equal to n+sod(n) for n = 12003342099 and 12003342108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 224068 + ... + 272420.

It is an arithmetic number, because the mean of its divisors is an integer number (591659544).

Almost surely, 212003342132 is an apocalyptic number.

12003342132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12003342132 is an abundant number, since it is smaller than the sum of its proper divisors (16396315980).

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

12003342132 is a wasteful number, since it uses less digits than its factorization.

12003342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48648 (or 48646 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12003342132 its reverse (23124330021), we get a palindrome (35127672153).

It can be divided in two parts, 120033 and 42132, that added together give a triangular number (162165 = T569).

The spelling of 12003342132 in words is "twelve billion, three million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 137 151 274 302 411 453 548 604 822 906 1644 1812 20687 41374 48353 62061 82748 96706 124122 145059 193412 248244 290118 580236 6624361 7301303 13248722 14602606 19873083 21903909 26497444 29205212 39746166 43807818 79492332 87615636 1000278511 2000557022 3000835533 4001114044 6001671066 12003342132