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12071147520 = 21135443887
BaseRepresentation
bin10110011110111111…
…10001100000000000
31011011020222211101210
423033133301200000
5144210203210040
65313450330120
7605064026625
oct131737614000
934136884353
1012071147520
115134936883
12240a729940
1311a4b15753
1482725c34c
154a9b26480
hex2cf7f1800

12071147520 has 192 divisors, whose sum is σ = 38749052160. Its totient is φ = 3208085504.

The previous prime is 12071147513. The next prime is 12071147591. The reversal of 12071147520 is 2574117021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13608517 + ... + 13609403.

It is an arithmetic number, because the mean of its divisors is an integer number (201817980).

Almost surely, 212071147520 is an apocalyptic number.

12071147520 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 12071147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374526080).

12071147520 is an abundant number, since it is smaller than the sum of its proper divisors (26677904640).

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

12071147520 is an equidigital number, since it uses as much as digits as its factorization.

12071147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 12071147520 in words is "twelve billion, seventy-one million, one hundred forty-seven thousand, five hundred twenty".