121432776791040 has 3168 divisors, whose sum is σ = 543867419257344. Its totient is φ = 25558112010240.

The previous prime is 121432776791017. The next prime is 121432776791113. The reversal of 121432776791040 is 40197677234121.

121432776791040 is a `hidden beast` number, since 1 + 21 + 432 + 7 + 7 + 67 + 91 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81662929177 + ... + 81662930663.

Almost surely, 2^{121432776791040} is an apocalyptic number.

121432776791040 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 121432776791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271933709628672).

121432776791040 is an abundant number, since it is smaller than the sum of its proper divisors (422434642466304).

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

121432776791040 is a wasteful number, since it uses less digits than its factorization.

121432776791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 121432776791040 in words is "one hundred twenty-one trillion, four hundred thirty-two billion, seven hundred seventy-six million, seven hundred ninety-one thousand, forty".