122661210040 has 128 divisors (see below), whose sum is σ = 302312736000. Its totient is φ = 44630949888.

The previous prime is 122661210019. The next prime is 122661210041. The reversal of 122661210040 is 40012166221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122661209987 and 122661210014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122661210041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896312 + ... + 1959928.

It is an arithmetic number, because the mean of its divisors is an integer number (2361818250).

Almost surely, 2^122661210040 is an apocalyptic number.

122661210040 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 122661210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151156368000).

122661210040 is an abundant number, since it is smaller than the sum of its proper divisors (179651525960).

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

122661210040 is a wasteful number, since it uses less digits than its factorization.

122661210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63749 (or 63745 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122661210040 its reverse (40012166221), we get a palindrome (162673376261).

The spelling of 122661210040 in words is "one hundred twenty-two billion, six hundred sixty-one million, two hundred ten thousand, forty".