122100420202040 has 128 divisors (see below), whose sum is σ = 315644639840640. Its totient is φ = 41640156020736.

The previous prime is 122100420201967. The next prime is 122100420202063. The reversal of 122100420202040 is 40202024001221.

It is a super-3 number, since 3×122100420202040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 223511312 + ... + 224056928.

It is an arithmetic number, because the mean of its divisors is an integer number (2465973748755).

Almost surely, 2^{122100420202040} is an apocalyptic number.

122100420202040 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 122100420202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157822319920320).

122100420202040 is an abundant number, since it is smaller than the sum of its proper divisors (193544219638600).

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

122100420202040 is a wasteful number, since it uses less digits than its factorization.

122100420202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549889 (or 549885 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122100420202040 its reverse (40202024001221), we get a palindrome (162302444203261).

The spelling of 122100420202040 in words is "one hundred twenty-two trillion, one hundred billion, four hundred twenty million, two hundred two thousand, forty".