122002002000 has 240 divisors, whose sum is σ = 448540547520. Its totient is φ = 30821472000.

The previous prime is 122002001971. The next prime is 122002002007. The reversal of 122002002000 is 200200221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163635 + ... + 520365.

It is an arithmetic number, because the mean of its divisors is an integer number (1868918948).

Almost surely, 2^122002002000 is an apocalyptic number.

122002002000 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 122002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224270273760).

122002002000 is an abundant number, since it is smaller than the sum of its proper divisors (326538545520).

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

122002002000 is a wasteful number, since it uses less digits than its factorization.

122002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356779 (or 356760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 122002002000 its reverse (200200221), we get a palindrome (122202202221).

The spelling of 122002002000 in words is "one hundred twenty-two billion, two million, two thousand".