122111021032000 has 672 divisors, whose sum is σ = 409106527764480. Its totient is φ = 35132815872000.

The previous prime is 122111021031947. The next prime is 122111021032031. The reversal of 122111021032000 is 230120111221.

It is a super-2 number, since 2×122111021032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87394881 + ... + 88781119.

It is an arithmetic number, because the mean of its divisors is an integer number (608789475840).

Almost surely, 2^{122111021032000} is an apocalyptic number.

122111021032000 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 122111021032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204553263882240).

122111021032000 is an abundant number, since it is smaller than the sum of its proper divisors (286995506732480).

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

122111021032000 is a wasteful number, since it uses less digits than its factorization.

122111021032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386308 (or 1386277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122111021032000 its reverse (230120111221), we get a palindrome (122341141143221).

The spelling of 122111021032000 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-one million, thirty-two thousand".