10122011040 has 192 divisors, whose sum is σ = 32272732800. Its totient is φ = 2666557440.

The previous prime is 10122010993. The next prime is 10122011041. The reversal of 10122011040 is 4011022101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10122011041) 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, 21956410 + ... + 21956870.

It is an arithmetic number, because the mean of its divisors is an integer number (168087150).

Almost surely, 2^10122011040 is an apocalyptic number.

10122011040 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 10122011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136366400).

10122011040 is an abundant number, since it is smaller than the sum of its proper divisors (22150721760).

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

10122011040 is a wasteful number, since it uses less digits than its factorization.

10122011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

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

Adding to 10122011040 its reverse (4011022101), we get a palindrome (14133033141).

The spelling of 10122011040 in words is "ten billion, one hundred twenty-two million, eleven thousand, forty".