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12120018432 = 29312762131
BaseRepresentation
bin10110100100110100…
…01100111000000000
31011021122221201200120
423102122030320000
5144310211042212
65322354020240
7606226312464
oct132232147000
934248851616
1012120018432
11515a486265
122422b77680
1311b1c96c52
1482d9404a4
154ae07b88c
hex2d268ce00

12120018432 has 80 divisors (see below), whose sum is σ = 32543250432. Its totient is φ = 4008130560.

The previous prime is 12120018347. The next prime is 12120018467. The reversal of 12120018432 is 23481002121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164007 + ... + 226137.

Almost surely, 212120018432 is an apocalyptic number.

12120018432 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 12120018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271625216).

12120018432 is an abundant number, since it is smaller than the sum of its proper divisors (20423232000).

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

12120018432 is an equidigital number, since it uses as much as digits as its factorization.

12120018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62279 (or 62263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12120018432 in words is "twelve billion, one hundred twenty million, eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1524 1536 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 62131 65024 97536 124262 186393 195072 248524 372786 497048 745572 994096 1491144 1988192 2982288 3976384 5964576 7890637 7952768 11929152 15781274 15905536 23671911 23858304 31562548 31811072 47343822 47716608 63125096 94687644 95433216 126250192 189375288 252500384 378750576 505000768 757501152 1010001536 1515002304 2020003072 3030004608 4040006144 6060009216 12120018432