1353837012120 has 256 divisors, whose sum is σ = 4529185804800. Its totient is φ = 359714234880.

The previous prime is 1353837012107. The next prime is 1353837012167. The reversal of 1353837012120 is 212107383531.

It is a happy number.

1353837012120 is a `hidden beast` number, since 13 + 538 + 3 + 70 + 1 + 21 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 390490627 + ... + 390494093.

It is an arithmetic number, because the mean of its divisors is an integer number (17692132050).

Almost surely, 2^{1353837012120} is an apocalyptic number.

1353837012120 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 1353837012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264592902400).

1353837012120 is an abundant number, since it is smaller than the sum of its proper divisors (3175348792680).

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

1353837012120 is a wasteful number, since it uses less digits than its factorization.

1353837012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1353837012120 in words is "one trillion, three hundred fifty-three billion, eight hundred thirty-seven million, twelve thousand, one hundred twenty".