122101113222000 has 480 divisors, whose sum is σ = 475125933993984. Its totient is φ = 28970474688000.

The previous prime is 122101113221999. The next prime is 122101113222139. The reversal of 122101113222000 is 222311101221.

122101113222000 is a `hidden beast` number, since 1 + 2 + 210 + 111 + 322 + 20 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2745657 + ... + 15866343.

Almost surely, 2^{122101113222000} is an apocalyptic number.

122101113222000 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 122101113222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237562966996992).

122101113222000 is an abundant number, since it is smaller than the sum of its proper divisors (353024820771984).

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

122101113222000 is a wasteful number, since it uses less digits than its factorization.

122101113222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120774 (or 13120755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122101113222000 its reverse (222311101221), we get a palindrome (122323424323221).

The spelling of 122101113222000 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred thirteen million, two hundred twenty-two thousand".