121962672000 has 1536 divisors, whose sum is σ = 518960332800. Its totient is φ = 28217548800.

The previous prime is 121962671983. The next prime is 121962672037. The reversal of 121962672000 is 276269121.

121962672000 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 626 + 7 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×121962672000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 960335937 + ... + 960336063.

It is an arithmetic number, because the mean of its divisors is an integer number (337864800).

Almost surely, 2^121962672000 is an apocalyptic number.

121962672000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121962672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259480166400).

121962672000 is an abundant number, since it is smaller than the sum of its proper divisors (396997660800).

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

121962672000 is a wasteful number, since it uses less digits than its factorization.

121962672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 121962672000 in words is "one hundred twenty-one billion, nine hundred sixty-two million, six hundred seventy-two thousand".