1217518345120 has 192 divisors, whose sum is σ = 3589194260736. Its totient is φ = 379163566080.

The previous prime is 1217518345097. The next prime is 1217518345151. The reversal of 1217518345120 is 215438157121.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 14656342 + ... + 14739178.

It is an arithmetic number, because the mean of its divisors is an integer number (18693720108).

Almost surely, 2^{1217518345120} is an apocalyptic number.

1217518345120 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 1217518345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794597130368).

1217518345120 is an abundant number, since it is smaller than the sum of its proper divisors (2371675915616).

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

1217518345120 is a wasteful number, since it uses less digits than its factorization.

1217518345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84063 (or 84055 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 1217518345120 in words is "one trillion, two hundred seventeen billion, five hundred eighteen million, three hundred forty-five thousand, one hundred twenty".