120012020220001 has 48 divisors (see below), whose sum is σ = 152876855202960. Its totient is φ = 93356702046720.

The previous prime is 120012020219989. The next prime is 120012020220073. The reversal of 120012020220001 is 100022020210021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53424053798976 + 66587966421025 = 7309176^2 + 8160145^2 .

It is not a de Polignac number, because 120012020220001 - 2⁵ = 120012020219969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120012020229001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87485935 + ... + 88847131.

It is an arithmetic number, because the mean of its divisors is an integer number (3184934483395).

Almost surely, 2^{120012020220001} is an apocalyptic number.

It is an amenable number.

120012020220001 is a deficient number, since it is larger than the sum of its proper divisors (32864834982959).

120012020220001 is a wasteful number, since it uses less digits than its factorization.

120012020220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363554 (or 1363547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120012020220001 its reverse (100022020210021), we get a palindrome (220034040430022).

It can be divided in two parts, 120012020 and 220001, that added together give a palindrome (120232021).

The spelling of 120012020220001 in words is "one hundred twenty trillion, twelve billion, twenty million, two hundred twenty thousand, one".