1310226416120 has 128 divisors (see below), whose sum is σ = 3057783696000. Its totient is φ = 504878893056.

The previous prime is 1310226416119. The next prime is 1310226416129. The reversal of 1310226416120 is 216146220131.

It is a super-2 number, since 2×1310226416120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310226416129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69895469 + ... + 69914211.

It is an arithmetic number, because the mean of its divisors is an integer number (23888935125).

Almost surely, 2^{1310226416120} is an apocalyptic number.

1310226416120 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 1310226416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528891848000).

1310226416120 is an abundant number, since it is smaller than the sum of its proper divisors (1747557279880).

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

1310226416120 is a wasteful number, since it uses less digits than its factorization.

1310226416120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19257 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1310226416120 in words is "one trillion, three hundred ten billion, two hundred twenty-six million, four hundred sixteen thousand, one hundred twenty".