121530298752 has 256 divisors, whose sum is σ = 366464947200. Its totient is φ = 39639435264.

The previous prime is 121530298741. The next prime is 121530298783. The reversal of 121530298752 is 257892035121.

121530298752 is a `hidden beast` number, since 1 + 21 + 530 + 2 + 98 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×121530298752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121530298698 and 121530298707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36351993 + ... + 36355335.

It is an arithmetic number, because the mean of its divisors is an integer number (1431503700).

Almost surely, 2^121530298752 is an apocalyptic number.

121530298752 is a gapful number since it is divisible by the number (12) 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 121530298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183232473600).

121530298752 is an abundant number, since it is smaller than the sum of its proper divisors (244934648448).

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

121530298752 is a wasteful number, since it uses less digits than its factorization.

121530298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 121530298752 in words is "one hundred twenty-one billion, five hundred thirty million, two hundred ninety-eight thousand, seven hundred fifty-two".