121082012835840 has 1120 divisors, whose sum is σ = 502888384437120. Its totient is φ = 27296384679936.

The previous prime is 121082012835809. The next prime is 121082012835841. The reversal of 121082012835840 is 48538210280121.

121082012835840 is a `hidden beast` number, since 1 + 21 + 0 + 8 + 20 + 1 + 28 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121082012835841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1695339651 + ... + 1695411069.

Almost surely, 2^{121082012835840} is an apocalyptic number.

121082012835840 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 121082012835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251444192218560).

121082012835840 is an abundant number, since it is smaller than the sum of its proper divisors (381806371601280).

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

121082012835840 is an frugal number, since it uses more digits than its factorization.

121082012835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71542 (or 71509 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 121082012835840 in words is "one hundred twenty-one trillion, eighty-two billion, twelve million, eight hundred thirty-five thousand, eight hundred forty".