121762787328 has 1040 divisors, whose sum is σ = 463998525760. Its totient is φ = 30958682112.

The previous prime is 121762787327. The next prime is 121762787353. The reversal of 121762787328 is 823787267121.

121762787328 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 627 + 8 + 7 + 3 + 2 + 8 = 666.

It is a super-3 number, since 3×121762787328³ (a number of 34 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121762787327) 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, 1117089738 + ... + 1117089846.

Almost surely, 2^121762787328 is an apocalyptic number.

121762787328 is a gapful number since it is divisible by the number (18) 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 121762787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231999262880).

121762787328 is an abundant number, since it is smaller than the sum of its proper divisors (342235738432).

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

121762787328 is a wasteful number, since it uses less digits than its factorization.

121762787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 121762787328 in words is "one hundred twenty-one billion, seven hundred sixty-two million, seven hundred eighty-seven thousand, three hundred twenty-eight".