12472462080 has 1152 divisors, whose sum is σ = 53404323840. Its totient is φ = 2724986880.

The previous prime is 12472462073. The next prime is 12472462099. The reversal of 12472462080 is 8026427421.

12472462080 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 24 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175668445 + ... + 175668515.

It is an arithmetic number, because the mean of its divisors is an integer number (46357920).

Almost surely, 2^12472462080 is an apocalyptic number.

12472462080 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 12472462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702161920).

12472462080 is an abundant number, since it is smaller than the sum of its proper divisors (40931861760).

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

12472462080 is a wasteful number, since it uses less digits than its factorization.

12472462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 12472 and 462080, that added together give a cube (474552 = 78³).

The spelling of 12472462080 in words is "twelve billion, four hundred seventy-two million, four hundred sixty-two thousand, eighty".