8612407770120 has 2304 divisors, whose sum is σ = 39987652320000. Its totient is φ = 1636269465600.

The previous prime is 8612407770103. The next prime is 8612407770121. The reversal of 8612407770120 is 210777042168.

8612407770120 is a `hidden beast` number, since 8 + 612 + 4 + 0 + 7 + 7 + 7 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8612407770121) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3528228100 + ... + 3528230540.

It is an arithmetic number, because the mean of its divisors is an integer number (17355751875).

Almost surely, 2^{8612407770120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8612407770120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993826160000).

8612407770120 is an abundant number, since it is smaller than the sum of its proper divisors (31375244549880).

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

8612407770120 is a wasteful number, since it uses less digits than its factorization.

8612407770120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 8612407770120 in words is "eight trillion, six hundred twelve billion, four hundred seven million, seven hundred seventy thousand, one hundred twenty".