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12023212032 = 211321350177
BaseRepresentation
bin10110011001010001…
…11010100000000000
31011000220210110021100
423030220322200000
5144110420241112
65305015054400
7603642421206
oct131450724000
934026713240
1012023212032
11510a876177
1223b6671400
131197c00c60
14820b41076
154a58082dc
hex2cca3a800

12023212032 has 144 divisors (see below), whose sum is σ = 37397161620. Its totient is φ = 3699376128.

The previous prime is 12023212013. The next prime is 12023212043. The reversal of 12023212032 is 23021232021.

It can be written as a sum of positive squares in 2 ways, for example, as 11581203456 + 442008576 = 107616^2 + 21024^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12023211996 and 12023212014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214528 + ... + 264704.

Almost surely, 212023212032 is an apocalyptic number.

12023212032 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 12023212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698580810).

12023212032 is an abundant number, since it is smaller than the sum of its proper divisors (25373949588).

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

12023212032 is a wasteful number, since it uses less digits than its factorization.

12023212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50218 (or 50195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12023212032 its reverse (23021232021), we get a palindrome (35044444053).

The spelling of 12023212032 in words is "twelve billion, twenty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 50177 59904 79872 100354 119808 150531 200708 239616 301062 401416 451593 602124 652301 802832 903186 1204248 1304602 1605664 1806372 1956903 2408496 2609204 3211328 3612744 3913806 4816992 5218408 5870709 6422656 7225488 7827612 9633984 10436816 11741418 12845312 14450976 15655224 19267968 20873632 23482836 25690624 28901952 31310448 38535936 41747264 46965672 51381248 57803904 62620896 77071872 83494528 93931344 102762496 115607808 125241792 154143744 166989056 187862688 231215616 250483584 308287488 333978112 375725376 462431232 500967168 667956224 751450752 924862464 1001934336 1335912448 1502901504 2003868672 3005803008 4007737344 6011606016 12023212032