121087296576 has 231 divisors, whose sum is σ = 362446650391. Its totient is φ = 40136943744.

The previous prime is 121087296511. The next prime is 121087296593. The reversal of 121087296576 is 675692780121.

The square root of 121087296576 is 347976.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 676465255 + ... + 676465433.

Almost surely, 2^121087296576 is an apocalyptic number.

121087296576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121087296576 is the 347976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121087296576

121087296576 is an abundant number, since it is smaller than the sum of its proper divisors (241359353815).

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

121087296576 is an frugal number, since it uses more digits than its factorization.

121087296576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 121087296576 in words is "one hundred twenty-one billion, eighty-seven million, two hundred ninety-six thousand, five hundred seventy-six".