122033312000 has 288 divisors, whose sum is σ = 313907577984. Its totient is φ = 47244288000.

The previous prime is 122033311997. The next prime is 122033312029. The reversal of 122033312000 is 213330221.

It is a self number, because there is not a number n which added to its sum of digits gives 122033312000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180255662 + ... + 180256338.

It is an arithmetic number, because the mean of its divisors is an integer number (1089956868).

Almost surely, 2^122033312000 is an apocalyptic number.

122033312000 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 122033312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156953788992).

122033312000 is an abundant number, since it is smaller than the sum of its proper divisors (191874265984).

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

122033312000 is an equidigital number, since it uses as much as digits as its factorization.

122033312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 122033312000 its reverse (213330221), we get a palindrome (122246642221).

The spelling of 122033312000 in words is "one hundred twenty-two billion, thirty-three million, three hundred twelve thousand".