1200405211225 has 36 divisors (see below), whose sum is σ = 1637865130860. Its totient is φ = 872092144000.

The previous prime is 1200405211207. The next prime is 1200405211253. The reversal of 1200405211225 is 5221125040021.

It can be written as a sum of positive squares in 6 ways, for example, as 78009048601 + 1122396162624 = 279301^2 + 1059432^2 .

It is not a de Polignac number, because 1200405211225 - 2⁹ = 1200405210713 is a prime.

It is a super-2 number, since 2×1200405211225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 1200405211225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2635671 + ... + 3057379.

It is an arithmetic number, because the mean of its divisors is an integer number (45496253635).

Almost surely, 2^{1200405211225} is an apocalyptic number.

It is an amenable number.

1200405211225 is a deficient number, since it is larger than the sum of its proper divisors (437459919635).

1200405211225 is a wasteful number, since it uses less digits than its factorization.

1200405211225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422682 (or 422666 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 1200405211225 in words is "one trillion, two hundred billion, four hundred five million, two hundred eleven thousand, two hundred twenty-five".