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12032312220 = 22325611095839
BaseRepresentation
bin10110011010010111…
…01000001110011100
31011001112220210101100
423031023220032130
5144120232442340
65305542113100
7604112652315
oct131513501634
934045823340
1012032312220
115114a21295
1223b971b790
131199a69096
1482202d60c
154a6504830
hex2cd2e839c

12032312220 has 72 divisors (see below), whose sum is σ = 37096375680. Its totient is φ = 3156013440.

The previous prime is 12032312179. The next prime is 12032312233. The reversal of 12032312220 is 2221323021.

12032312220 is a `hidden beast` number, since 120 + 323 + 1 + 2 + 220 = 666.

12032312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120323122202 (a number of 21 digits) contains 22 as substring.

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 = 12032312193 and 12032312202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536940 + ... + 558899.

It is an arithmetic number, because the mean of its divisors is an integer number (515227440).

Almost surely, 212032312220 is an apocalyptic number.

12032312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032312220 is an abundant number, since it is smaller than the sum of its proper divisors (25064063460).

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

12032312220 is a wasteful number, since it uses less digits than its factorization.

12032312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095915 (or 1095910 counting only the distinct ones).

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

Adding to 12032312220 its reverse (2221323021), we get a palindrome (14253635241).

The spelling of 12032312220 in words is "twelve billion, thirty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 1095839 2191678 3287517 4383356 5479195 6575034 9862551 10958390 13150068 16437585 19725102 21916780 32875170 39450204 49312755 65750340 66846179 98625510 133692358 197251020 200538537 267384716 334230895 401077074 601615611 668461790 802154148 1002692685 1203231222 1336923580 2005385370 2406462444 3008078055 4010770740 6016156110 12032312220