1201225952004 has 96 divisors (see below), whose sum is σ = 3033154252800. Its totient is φ = 367813705728.

The previous prime is 1201225951901. The next prime is 1201225952039. The reversal of 1201225952004 is 4002595221021.

It is a super-2 number, since 2×1201225952004² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26804464 + ... + 26849240.

It is an arithmetic number, because the mean of its divisors is an integer number (31595356800).

Almost surely, 2^{1201225952004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201225952004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516577126400).

1201225952004 is an abundant number, since it is smaller than the sum of its proper divisors (1831928300796).

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

1201225952004 is a wasteful number, since it uses less digits than its factorization.

1201225952004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45629 (or 45627 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1201225952004 in words is "one trillion, two hundred one billion, two hundred twenty-five million, nine hundred fifty-two thousand, four".