121817222136000 has 448 divisors, whose sum is σ = 470456702976000. Its totient is φ = 30774876134400.

The previous prime is 121817222135963. The next prime is 121817222136017. The reversal of 121817222136000 is 631222718121.

121817222136000 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 7 + 22 + 21 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10737280 + ... + 18945279.

Almost surely, 2^{121817222136000} is an apocalyptic number.

121817222136000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121817222136000 is an abundant number, since it is smaller than the sum of its proper divisors (348639480840000).

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

121817222136000 is a wasteful number, since it uses less digits than its factorization.

121817222136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29682614 (or 29682588 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 121817222136000 in words is "one hundred twenty-one trillion, eight hundred seventeen billion, two hundred twenty-two million, one hundred thirty-six thousand".