122301102000 has 640 divisors, whose sum is σ = 496649926656. Its totient is φ = 25152000000.

The previous prime is 122301101983. The next prime is 122301102059. The reversal of 122301102000 is 201103221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46660690 + ... + 46663310.

Almost surely, 2^122301102000 is an apocalyptic number.

122301102000 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 122301102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248324963328).

122301102000 is an abundant number, since it is smaller than the sum of its proper divisors (374348824656).

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

122301102000 is a wasteful number, since it uses less digits than its factorization.

122301102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122301102000 its reverse (201103221), we get a palindrome (122502205221).

The spelling of 122301102000 in words is "one hundred twenty-two billion, three hundred one million, one hundred two thousand".