121742900 has 36 divisors (see below), whose sum is σ = 264756492. Its totient is φ = 48591360.

The previous prime is 121742897. The next prime is 121742917. The reversal of 121742900 is 9247121.

It can be written as a sum of positive squares in 6 ways, for example, as 698896 + 121044004 = 836^2 + 11002^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121742900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58274 + ... + 60326.

It is an arithmetic number, because the mean of its divisors is an integer number (7354347).

Almost surely, 2^121742900 is an apocalyptic number.

121742900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121742900 is an abundant number, since it is smaller than the sum of its proper divisors (143013592).

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

121742900 is a wasteful number, since it uses less digits than its factorization.

121742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 121742900 is about 11033.7165089556. The cubic root of 121742900 is about 495.6189244739.

The spelling of 121742900 in words is "one hundred twenty-one million, seven hundred forty-two thousand, nine hundred".