121977883722240 has 5760 divisors, whose sum is σ = 612325061187840. Its totient is φ = 22923184177152.

The previous prime is 121977883722187. The next prime is 121977883722271. The reversal of 121977883722240 is 42227388779121.

121977883722240 is a `hidden beast` number, since 1 + 2 + 19 + 7 + 7 + 8 + 8 + 372 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 127993581604 + ... + 127993582556.

It is an arithmetic number, because the mean of its divisors is an integer number (106306434234).

Almost surely, 2^{121977883722240} is an apocalyptic number.

121977883722240 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 121977883722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306162530593920).

121977883722240 is an abundant number, since it is smaller than the sum of its proper divisors (490347177465600).

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

121977883722240 is a wasteful number, since it uses less digits than its factorization.

121977883722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 121977883722240 in words is "one hundred twenty-one trillion, nine hundred seventy-seven billion, eight hundred eighty-three million, seven hundred twenty-two thousand, two hundred forty".