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12452090560 = 2657132831511
BaseRepresentation
bin10111001100011001…
…11101001011000000
31012010210210202000021
423212030331023000
5201000213344220
65415335303224
7620401011010
oct134614751300
935123722007
1012452090560
11530a975a38
1224b621ab14
131235a13c30
14861aa1c40
154cd2c34aa
hex2e633d2c0

12452090560 has 224 divisors, whose sum is σ = 36647396352. Its totient is φ = 3924357120.

The previous prime is 12452090537. The next prime is 12452090561. The reversal of 12452090560 is 6509025421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×124520905602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12452090561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8240205 + ... + 8241715.

It is an arithmetic number, because the mean of its divisors is an integer number (163604448).

Almost surely, 212452090560 is an apocalyptic number.

12452090560 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 12452090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323698176).

12452090560 is an abundant number, since it is smaller than the sum of its proper divisors (24195305792).

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

12452090560 is a wasteful number, since it uses less digits than its factorization.

12452090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 12452090560 in words is "twelve billion, four hundred fifty-two million, ninety thousand, five hundred sixty".