1206533635600 has 120 divisors (see below), whose sum is σ = 3071467821960. Its totient is φ = 453890088960.

The previous prime is 1206533635597. The next prime is 1206533635621. The reversal of 1206533635600 is 65363356021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 62078712336 + 1144454923264 = 249156^2 + 1069792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9271786 + ... + 9401014.

It is an arithmetic number, because the mean of its divisors is an integer number (25595565183).

Almost surely, 2^{1206533635600} is an apocalyptic number.

1206533635600 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 1206533635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535733910980).

1206533635600 is an abundant number, since it is smaller than the sum of its proper divisors (1864934186360).

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

1206533635600 is a wasteful number, since it uses less digits than its factorization.

1206533635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130637 (or 130626 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

The spelling of 1206533635600 in words is "one trillion, two hundred six billion, five hundred thirty-three million, six hundred thirty-five thousand, six hundred".