10124121040 has 80 divisors (see below), whose sum is σ = 25738995456. Its totient is φ = 3672819200.

The previous prime is 10124121031. The next prime is 10124121043. The reversal of 10124121040 is 4012142101.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124121043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365934 + ... + 392626.

Almost surely, 2^10124121040 is an apocalyptic number.

10124121040 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 10124121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869497728).

10124121040 is an abundant number, since it is smaller than the sum of its proper divisors (15614874416).

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

10124121040 is a wasteful number, since it uses less digits than its factorization.

10124121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27148 (or 27142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10124121040 its reverse (4012142101), we get a palindrome (14136263141).

The spelling of 10124121040 in words is "ten billion, one hundred twenty-four million, one hundred twenty-one thousand, forty".