122002112000 has 160 divisors (see below), whose sum is σ = 314038543104. Its totient is φ = 47225856000.

The previous prime is 122002111993. The next prime is 122002112009. The reversal of 122002112000 is 211200221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002112009) 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, 1953254 + ... + 2014746.

Almost surely, 2^122002112000 is an apocalyptic number.

122002112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157019271552).

122002112000 is an abundant number, since it is smaller than the sum of its proper divisors (192036431104).

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

122002112000 is an frugal number, since it uses more digits than its factorization.

122002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61557 (or 61531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122002112000 its reverse (211200221), we get a palindrome (122213312221).

The spelling of 122002112000 in words is "one hundred twenty-two billion, two million, one hundred twelve thousand".