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12023412480 = 2832510310133
BaseRepresentation
bin10110011001010011…
…01011011100000000
31011000221011122020100
423030221223130000
5144110443144410
65305023242400
7603644214462
oct131451533400
934027148210
1012023412480
11510a9a2832
1223b6749400
131197c71271
14820b94132
154a58478c0
hex2cca6b700

12023412480 has 216 divisors, whose sum is σ = 42007781088. Its totient is φ = 3174801408.

The previous prime is 12023412463. The next prime is 12023412491. The reversal of 12023412480 is 8421432021.

12023412480 is a `hidden beast` number, since 1 + 202 + 3 + 412 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181494 + ... + 1191626.

It is an arithmetic number, because the mean of its divisors is an integer number (194480468).

Almost surely, 212023412480 is an apocalyptic number.

12023412480 is a gapful number since it is divisible by the number (10) 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 12023412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003890544).

12023412480 is an abundant number, since it is smaller than the sum of its proper divisors (29984368608).

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

12023412480 is a wasteful number, since it uses less digits than its factorization.

12023412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12023412480 in words is "twelve billion, twenty-three million, four hundred twelve thousand, four hundred eighty".