1206995013000 has 640 divisors, whose sum is σ = 4977465292800. Its totient is φ = 266981184000.

The previous prime is 1206995012941. The next prime is 1206995013001. The reversal of 1206995013000 is 3105996021.

It is a super-2 number, since 2×1206995013000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1206995013001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17542666 + ... + 17611334.

It is an arithmetic number, because the mean of its divisors is an integer number (7777289520).

Almost surely, 2^{1206995013000} is an apocalyptic number.

1206995013000 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 1206995013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488732646400).

1206995013000 is an abundant number, since it is smaller than the sum of its proper divisors (3770470279800).

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

1206995013000 is a wasteful number, since it uses less digits than its factorization.

1206995013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68740 (or 68717 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 1206995013000 in words is "one trillion, two hundred six billion, nine hundred ninety-five million, thirteen thousand".