121552649280 has 336 divisors, whose sum is σ = 446764958640. Its totient is φ = 30226120704.

The previous prime is 121552649279. The next prime is 121552649303. The reversal of 121552649280 is 82946255121.

121552649280 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 526 + 49 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19403375616 + 102149273664 = 139296^2 + 319608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5325252 + ... + 5348028.

It is an arithmetic number, because the mean of its divisors is an integer number (1329657615).

Almost surely, 2^121552649280 is an apocalyptic number.

121552649280 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 121552649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223382479320).

121552649280 is an abundant number, since it is smaller than the sum of its proper divisors (325212309360).

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

121552649280 is a wasteful number, since it uses less digits than its factorization.

121552649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22926 (or 22913 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 121552649280 in words is "one hundred twenty-one billion, five hundred fifty-two million, six hundred forty-nine thousand, two hundred eighty".