1012450279680 has 432 divisors, whose sum is σ = 4030313414400. Its totient is φ = 229861343232.

The previous prime is 1012450279657. The next prime is 1012450279691. The reversal of 1012450279680 is 869720542101.

1012450279680 is a `hidden beast` number, since 1 + 0 + 12 + 4 + 502 + 79 + 68 + 0 = 666.

It is a super-2 number, since 2×1012450279680² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11973229 + ... + 12057491.

It is an arithmetic number, because the mean of its divisors is an integer number (9329429200).

Almost surely, 2^{1012450279680} is an apocalyptic number.

1012450279680 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 1012450279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015156707200).

1012450279680 is an abundant number, since it is smaller than the sum of its proper divisors (3017863134720).

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

1012450279680 is a wasteful number, since it uses less digits than its factorization.

1012450279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84446 (or 84429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1012450279680 in words is "one trillion, twelve billion, four hundred fifty million, two hundred seventy-nine thousand, six hundred eighty".