1211021313120 has 144 divisors (see below), whose sum is σ = 4244302586160. Its totient is φ = 314210921472.

The previous prime is 1211021313113. The next prime is 1211021313143. The reversal of 1211021313120 is 213131201121.

1211021313120 is a `hidden beast` number, since 1 + 211 + 0 + 21 + 313 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1211021313093 and 1211021313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11311410 + ... + 11417969.

It is an arithmetic number, because the mean of its divisors is an integer number (29474323515).

Almost surely, 2^{1211021313120} is an apocalyptic number.

1211021313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211021313120 is an abundant number, since it is smaller than the sum of its proper divisors (3033281273040).

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

1211021313120 is a wasteful number, since it uses less digits than its factorization.

1211021313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22729437 (or 22729426 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1211021313120 its reverse (213131201121), we get a palindrome (1424152514241).

The spelling of 1211021313120 in words is "one trillion, two hundred eleven billion, twenty-one million, three hundred thirteen thousand, one hundred twenty".