1311226125420 has 192 divisors, whose sum is σ = 3979777536000. Its totient is φ = 321571160064.

The previous prime is 1311226125371. The next prime is 1311226125437. The reversal of 1311226125420 is 245216221131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9496236 + ... + 9633324.

It is an arithmetic number, because the mean of its divisors is an integer number (20728008000).

Almost surely, 2^{1311226125420} is an apocalyptic number.

1311226125420 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 1311226125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989888768000).

1311226125420 is an abundant number, since it is smaller than the sum of its proper divisors (2668551410580).

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

1311226125420 is a wasteful number, since it uses less digits than its factorization.

1311226125420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137392 (or 137390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1311226125420 in words is "one trillion, three hundred eleven billion, two hundred twenty-six million, one hundred twenty-five thousand, four hundred twenty".