1202965413120 has 864 divisors, whose sum is σ = 4641852378240. Its totient is φ = 294794035200.

The previous prime is 1202965413107. The next prime is 1202965413131. The reversal of 1202965413120 is 213145692021.

1202965413120 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 96 + 541 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429475720 + ... + 429478520.

Almost surely, 2^{1202965413120} is an apocalyptic number.

1202965413120 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 1202965413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320926189120).

1202965413120 is an abundant number, since it is smaller than the sum of its proper divisors (3438886965120).

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

1202965413120 is a wasteful number, since it uses less digits than its factorization.

1202965413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1202965413120 in words is "one trillion, two hundred two billion, nine hundred sixty-five million, four hundred thirteen thousand, one hundred twenty".