1222001133120 has 336 divisors, whose sum is σ = 4256728339968. Its totient is φ = 321733324800.

The previous prime is 1222001133079. The next prime is 1222001133131. The reversal of 1222001133120 is 213311002221.

1222001133120 is a `hidden beast` number, since 122 + 200 + 11 + 331 + 2 + 0 = 666.

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 = 1222001133093 and 1222001133102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106747237 + ... + 106758683.

Almost surely, 2^{1222001133120} is an apocalyptic number.

1222001133120 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 1222001133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128364169984).

1222001133120 is an abundant number, since it is smaller than the sum of its proper divisors (3034727206848).

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

1222001133120 is a wasteful number, since it uses less digits than its factorization.

1222001133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1222001133120 its reverse (213311002221), we get a palindrome (1435312135341).

It can be divided in two parts, 122200 and 1133120, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 1222001133120 in words is "one trillion, two hundred twenty-two billion, one million, one hundred thirty-three thousand, one hundred twenty".