120221122210000 has 150 divisors (see below), whose sum is σ = 338588561829210. Its totient is φ = 41218670304000.

The previous prime is 120221122209941. The next prime is 120221122210039. The reversal of 120221122210000 is 12221122021.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 90307617193024 + 29913505016976 = 9503032^2 + 5469324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122184615 + ... + 123164614.

Almost surely, 2^{120221122210000} is an apocalyptic number.

120221122210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221122210000 is an abundant number, since it is smaller than the sum of its proper divisors (218367439619210).

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

120221122210000 is an equidigital number, since it uses as much as digits as its factorization.

120221122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245349271 (or 245349243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221122210000 its reverse (12221122021), we get a palindrome (120233343332021).

The spelling of 120221122210000 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand".