122035321040 has 80 divisors (see below), whose sum is σ = 293086183248. Its totient is φ = 47220092928.

The previous prime is 122035321019. The next prime is 122035321099. The reversal of 122035321040 is 40123530221.

It can be written as a sum of positive squares in 8 ways, for example, as 58250787904 + 63784533136 = 241352^2 + 252556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×122035321040⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122035320997 and 122035321015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392924 + ... + 631236.

Almost surely, 2^122035321040 is an apocalyptic number.

122035321040 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 122035321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146543091624).

122035321040 is an abundant number, since it is smaller than the sum of its proper divisors (171050862208).

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

122035321040 is a wasteful number, since it uses less digits than its factorization.

122035321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238536 (or 238530 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 122035321040 its reverse (40123530221), we get a palindrome (162158851261).

The spelling of 122035321040 in words is "one hundred twenty-two billion, thirty-five million, three hundred twenty-one thousand, forty".