121754190402720 has 1728 divisors, whose sum is σ = 474156068585472. Its totient is φ = 29467183104000.

The previous prime is 121754190402683. The next prime is 121754190402727. The reversal of 121754190402720 is 27204091457121.

121754190402720 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 54 + 190 + 402 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121754190402727) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150128471115 + ... + 150128471925.

It is an arithmetic number, because the mean of its divisors is an integer number (274395873024).

Almost surely, 2^{121754190402720} is an apocalyptic number.

121754190402720 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 121754190402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237078034292736).

121754190402720 is an abundant number, since it is smaller than the sum of its proper divisors (352401878182752).

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

121754190402720 is a wasteful number, since it uses less digits than its factorization.

121754190402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 121754190402720 in words is "one hundred twenty-one trillion, seven hundred fifty-four billion, one hundred ninety million, four hundred two thousand, seven hundred twenty".