121772800000 has 288 divisors, whose sum is σ = 310944160800. Its totient is φ = 47656960000.

The previous prime is 121772799997. The next prime is 121772800063. The reversal of 121772800000 is 8277121.

It is a super-2 number, since 2×121772800000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339199821 + ... + 339200179.

It is an arithmetic number, because the mean of its divisors is an integer number (1079667225).

Almost surely, 2^121772800000 is an apocalyptic number.

121772800000 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 121772800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155472080400).

121772800000 is an abundant number, since it is smaller than the sum of its proper divisors (189171360800).

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

121772800000 is an frugal number, since it uses more digits than its factorization.

121772800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The spelling of 121772800000 in words is "one hundred twenty-one billion, seven hundred seventy-two million, eight hundred thousand".