121931285062500 has 189 divisors, whose sum is σ = 385290228827413. Its totient is φ = 32512800900000.

The previous prime is 121931285062439. The next prime is 121931285062523. The reversal of 121931285062500 is 5260582139121.

The square root of 121931285062500 is 11042250.

It is a perfect power (a square), and thus also a powerful number.

121931285062500 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 3 + 1 + 2 + 85 + 0 + 62 + 500 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 106823511118116 + 15107773944384 = 10335546^2 + 3886872^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8281680139 + ... + 8281694861.

Almost surely, 2^{121931285062500} is an apocalyptic number.

121931285062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121931285062500 is the 11042250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121931285062500

121931285062500 is an abundant number, since it is smaller than the sum of its proper divisors (263358943764913).

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

121931285062500 is an frugal number, since it uses more digits than its factorization.

121931285062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29486 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 121931285062500 in words is "one hundred twenty-one trillion, nine hundred thirty-one billion, two hundred eighty-five million, sixty-two thousand, five hundred".