122101212000 has 96 divisors (see below), whose sum is σ = 400003609824. Its totient is φ = 32560320000.

The previous prime is 122101211959. The next prime is 122101212007. The reversal of 122101212000 is 212101221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5075551 + ... + 5099550.

It is an arithmetic number, because the mean of its divisors is an integer number (4166704269).

Almost surely, 2^122101212000 is an apocalyptic number.

122101212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101212000 is an abundant number, since it is smaller than the sum of its proper divisors (277902397824).

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

122101212000 is a wasteful number, since it uses less digits than its factorization.

122101212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175129 (or 10175111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122101212000 its reverse (212101221), we get a palindrome (122313313221).

The spelling of 122101212000 in words is "one hundred twenty-two billion, one hundred one million, two hundred twelve thousand".