122033122002000 has 240 divisors, whose sum is σ = 464968383422400. Its totient is φ = 29583787104000.

The previous prime is 122033122001977. The next prime is 122033122002019. The reversal of 122033122002000 is 200221330221.

122033122002000 is a `hidden beast` number, since 1 + 220 + 33 + 12 + 200 + 200 + 0 = 666.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307966450 + ... + 308362449.

It is an arithmetic number, because the mean of its divisors is an integer number (1937368264260).

Almost surely, 2^{122033122002000} is an apocalyptic number.

122033122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033122002000 is an abundant number, since it is smaller than the sum of its proper divisors (342935261420400).

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

122033122002000 is a wasteful number, since it uses less digits than its factorization.

122033122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616328939 (or 616328920 counting only the distinct ones).

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

Adding to 122033122002000 its reverse (200221330221), we get a palindrome (122233343332221).

The spelling of 122033122002000 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred twenty-two million, two thousand".