1231122133120 has 128 divisors (see below), whose sum is σ = 3228650798400. Its totient is φ = 445179310080.

The previous prime is 1231122133103. The next prime is 1231122133123. The reversal of 1231122133120 is 213312211321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1231122133091 and 1231122133100.

It is not an unprimeable number, because it can be changed into a prime (1231122133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771682 + ... + 1748638.

Almost surely, 2^{1231122133120} is an apocalyptic number.

1231122133120 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 1231122133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614325399200).

1231122133120 is an abundant number, since it is smaller than the sum of its proper divisors (1997528665280).

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

1231122133120 is a wasteful number, since it uses less digits than its factorization.

1231122133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977166 (or 977154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1231122133120 its reverse (213312211321), we get a palindrome (1444434344441).

The spelling of 1231122133120 in words is "one trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".