1205022151120 has 80 divisors (see below), whose sum is σ = 3077356429440. Its totient is φ = 436786048512.

The previous prime is 1205022151117. The next prime is 1205022151127. The reversal of 1205022151120 is 211512205021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1205022151091 and 1205022151100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205022151127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17199339 + ... + 17269258.

It is an arithmetic number, because the mean of its divisors is an integer number (38466955368).

Almost surely, 2^{1205022151120} is an apocalyptic number.

1205022151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205022151120 is an abundant number, since it is smaller than the sum of its proper divisors (1872334278320).

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

1205022151120 is a wasteful number, since it uses less digits than its factorization.

1205022151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34468652 (or 34468646 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 1205022151120 its reverse (211512205021), we get a palindrome (1416534356141).

The spelling of 1205022151120 in words is "one trillion, two hundred five billion, twenty-two million, one hundred fifty-one thousand, one hundred twenty".