122121001020112 has 20 divisors (see below), whose sum is σ = 236620564750980. Its totient is φ = 61057629471488.

The previous prime is 122121001020107. The next prime is 122121001020149. The reversal of 122121001020112 is 211020100121221.

It can be written as a sum of positive squares in 2 ways, for example, as 48324242046096 + 73796758974016 = 6951564^2 + 8590504^2 .

It is a super-2 number, since 2×122121001020112² (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 179088973 + ... + 179769580.

It is an arithmetic number, because the mean of its divisors is an integer number (11831028237549).

Almost surely, 2^{122121001020112} is an apocalyptic number.

It is an amenable number.

122121001020112 is a deficient number, since it is larger than the sum of its proper divisors (114499563730868).

122121001020112 is a wasteful number, since it uses less digits than its factorization.

122121001020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358879830 (or 358879824 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121001020112 its reverse (211020100121221), we get a palindrome (333141101141333).

The spelling of 122121001020112 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one million, twenty thousand, one hundred twelve".