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12141332032 = 263152311701
BaseRepresentation
bin10110100111010111…
…00000011001000000
31011100011001120110011
423103223200121000
5144331140111112
65324434514304
7606605422324
oct132353403100
934304046404
1012141332032
115170513505
12242a135994
1311b651a24b
148326cb984
154b0d8baa7
hex2d3ae0640

12141332032 has 56 divisors (see below), whose sum is σ = 24919830272. Its totient is φ = 5863104000.

The previous prime is 12141331997. The next prime is 12141332039. The reversal of 12141332032 is 23023314121.

It is a super-2 number, since 2×121413320322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12141331994 and 12141332012.

It is not an unprimeable number, because it can be changed into a prime (12141332039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031782 + ... + 1043482.

Almost surely, 212141332032 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 12141332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459915136).

12141332032 is an abundant number, since it is smaller than the sum of its proper divisors (12778498240).

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

12141332032 is a wasteful number, since it uses less digits than its factorization.

12141332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12141332032 its reverse (23023314121), we get a palindrome (35164646153).

The spelling of 12141332032 in words is "twelve billion, one hundred forty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 523 992 1046 1984 2092 4184 8368 11701 16213 16736 23402 32426 33472 46804 64852 93608 129704 187216 259408 362731 374432 518816 725462 748864 1037632 1450924 2901848 5803696 6119623 11607392 12239246 23214784 24478492 48956984 97913968 189708313 195827936 379416626 391655872 758833252 1517666504 3035333008 6070666016 12141332032