122010020040 has 192 divisors, whose sum is σ = 383292705600. Its totient is φ = 31068043776.

The previous prime is 122010020021. The next prime is 122010020053. The reversal of 122010020040 is 40020010221.

It is a super-2 number, since 2×122010020040² (a number of 23 digits) contains 22 as substring.

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 = 122010019998 and 122010020025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48053091 + ... + 48055629.

It is an arithmetic number, because the mean of its divisors is an integer number (1996316175).

Almost surely, 2^122010020040 is an apocalyptic number.

122010020040 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 122010020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646352800).

122010020040 is an abundant number, since it is smaller than the sum of its proper divisors (261282685560).

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

122010020040 is a wasteful number, since it uses less digits than its factorization.

122010020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122010020040 its reverse (40020010221), we get a palindrome (162030030261).

The spelling of 122010020040 in words is "one hundred twenty-two billion, ten million, twenty thousand, forty".