121131841600 has 567 divisors, whose sum is σ = 384511132551. Its totient is φ = 37421260800.

The previous prime is 121131841573. The next prime is 121131841613. The reversal of 121131841600 is 6148131121.

The square root of 121131841600 is 348040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61627069504 + 59504772096 = 248248^2 + 243936^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1071963144 + ... + 1071963256.

Almost surely, 2^121131841600 is an apocalyptic number.

121131841600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121131841600 is the 348040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121131841600

121131841600 is an abundant number, since it is smaller than the sum of its proper divisors (263379290951).

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

121131841600 is a wasteful number, since it uses less digits than its factorization.

121131841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 121131841600 its reverse (6148131121), we get a palindrome (127279972721).

The spelling of 121131841600 in words is "one hundred twenty-one billion, one hundred thirty-one million, eight hundred forty-one thousand, six hundred".