122000101012020 has 576 divisors, whose sum is σ = 451318266298368. Its totient is φ = 24070005273600.

The previous prime is 122000101011961. The next prime is 122000101012039. The reversal of 122000101012020 is 20210101000221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122000101011987 and 122000101012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82766697 + ... + 84227823.

It is an arithmetic number, because the mean of its divisors is an integer number (783538656768).

Almost surely, 2^{122000101012020} is an apocalyptic number.

122000101012020 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 122000101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225659133149184).

122000101012020 is an abundant number, since it is smaller than the sum of its proper divisors (329318165286348).

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

122000101012020 is a wasteful number, since it uses less digits than its factorization.

122000101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461252 (or 1461239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000101012020 its reverse (20210101000221), we get a palindrome (142210202012241).

The spelling of 122000101012020 in words is "one hundred twenty-two trillion, one hundred one million, twelve thousand, twenty".