1206879912000 has 3136 divisors, whose sum is σ = 5687688554496. Its totient is φ = 247239475200.

The previous prime is 1206879911999. The next prime is 1206879912001. The reversal of 1206879912000 is 2199786021.

It is an interprime number because it is at equal distance from previous prime (1206879911999) and next prime (1206879912001).

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 (1206879912001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 25678295977 + ... + 25678296023.

Almost surely, 2^{1206879912000} is an apocalyptic number.

1206879912000 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 1206879912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843844277248).

1206879912000 is an abundant number, since it is smaller than the sum of its proper divisors (4480808642496).

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

1206879912000 is an equidigital number, since it uses as much as digits as its factorization.

1206879912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1206879912000 in words is "one trillion, two hundred six billion, eight hundred seventy-nine million, nine hundred twelve thousand".