1307417312220 has 96 divisors (see below), whose sum is σ = 3691812091968. Its totient is φ = 345694052352.

The previous prime is 1307417312219. The next prime is 1307417312261. The reversal of 1307417312220 is 222137147031.

It is a super-2 number, since 2×1307417312220² (a number of 25 digits) contains 22 as substring.

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, 6951744 + ... + 7137336.

It is an arithmetic number, because the mean of its divisors is an integer number (38456375958).

Almost surely, 2^{1307417312220} is an apocalyptic number.

1307417312220 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 1307417312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845906045984).

1307417312220 is an abundant number, since it is smaller than the sum of its proper divisors (2384394779748).

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

1307417312220 is a wasteful number, since it uses less digits than its factorization.

1307417312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186599 (or 186597 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 1307417312220 in words is "one trillion, three hundred seven billion, four hundred seventeen million, three hundred twelve thousand, two hundred twenty".