121731210000 has 225 divisors, whose sum is σ = 426077985619. Its totient is φ = 32433744000.

The previous prime is 121731209989. The next prime is 121731210017. The reversal of 121731210000 is 12137121.

It is a happy number.

The square root of 121731210000 is 348900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9543726864 + 112187483136 = 97692^2 + 334944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104669419 + ... + 104670581.

Almost surely, 2^121731210000 is an apocalyptic number.

121731210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121731210000 is the 348900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121731210000

121731210000 is an abundant number, since it is smaller than the sum of its proper divisors (304346775619).

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

121731210000 is an frugal number, since it uses more digits than its factorization.

121731210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 121731210000 its reverse (12137121), we get a palindrome (121743347121).

The spelling of 121731210000 in words is "one hundred twenty-one billion, seven hundred thirty-one million, two hundred ten thousand".