122002000213032 has 96 divisors (see below), whose sum is σ = 332295393480960. Its totient is φ = 40436836848000.

The previous prime is 122002000212949. The next prime is 122002000213091. The reversal of 122002000213032 is 230312000200221.

122002000213032 is a `hidden beast` number, since 1 + 220 + 0 + 200 + 0 + 213 + 0 + 32 = 666.

122002000213032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122002000212996 and 122002000213014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90437157 + ... + 91776267.

It is an arithmetic number, because the mean of its divisors is an integer number (3461410348760).

Almost surely, 2^{122002000213032} is an apocalyptic number.

122002000213032 is a gapful number since it is divisible by the number (12) 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 122002000213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166147696740480).

122002000213032 is an abundant number, since it is smaller than the sum of its proper divisors (210293393267928).

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

122002000213032 is a wasteful number, since it uses less digits than its factorization.

122002000213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346295 (or 1346288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122002000213032 its reverse (230312000200221), we get a palindrome (352314000413253).

The spelling of 122002000213032 in words is "one hundred twenty-two trillion, two billion, two hundred thirteen thousand, thirty-two".