121298613345 has 480 divisors, whose sum is σ = 291435217920. Its totient is φ = 47734686720.

The previous prime is 121298613307. The next prime is 121298613347. The reversal of 121298613345 is 543316892121.

121298613345 is a `hidden beast` number, since 1 + 2 + 1 + 29 + 8 + 613 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 121298613345 - 2¹⁰ = 121298612321 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121298613345.

It is not an unprimeable number, because it can be changed into a prime (121298613347) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 231928254 + ... + 231928776.

It is an arithmetic number, because the mean of its divisors is an integer number (607156704).

Almost surely, 2^121298613345 is an apocalyptic number.

121298613345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121298613345 is an abundant number, since it is smaller than the sum of its proper divisors (170136604575).

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

121298613345 is a wasteful number, since it uses less digits than its factorization.

121298613345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 121298613345 in words is "one hundred twenty-one billion, two hundred ninety-eight million, six hundred thirteen thousand, three hundred forty-five".