1021261893120 has 480 divisors, whose sum is σ = 4191919699968. Its totient is φ = 233430294528.

The previous prime is 1021261893109. The next prime is 1021261893137. The reversal of 1021261893120 is 213981621201.

1021261893120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 618 + 9 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 4237297 + ... + 4471823.

Almost surely, 2^{1021261893120} is an apocalyptic number.

1021261893120 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 1021261893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095959849984).

1021261893120 is an abundant number, since it is smaller than the sum of its proper divisors (3170657806848).

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

1021261893120 is an frugal number, since it uses more digits than its factorization.

1021261893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234572 (or 234544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1021261893120 in words is "one trillion, twenty-one billion, two hundred sixty-one million, eight hundred ninety-three thousand, one hundred twenty".