10420124340120 has 128 divisors (see below), whose sum is σ = 34123994634240. Its totient is φ = 2524478192640.

The previous prime is 10420124340113. The next prime is 10420124340181. The reversal of 10420124340120 is 2104342102401.

It is a super-3 number, since 3×10420124340120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450397 + ... + 4587276.

It is an arithmetic number, because the mean of its divisors is an integer number (266593708080).

Almost surely, 2^{10420124340120} is an apocalyptic number.

10420124340120 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 10420124340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061997317120).

10420124340120 is an abundant number, since it is smaller than the sum of its proper divisors (23703870294120).

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

10420124340120 is a wasteful number, since it uses less digits than its factorization.

10420124340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039265 (or 5039261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10420124340120 its reverse (2104342102401), we get a palindrome (12524466442521).

The spelling of 10420124340120 in words is "ten trillion, four hundred twenty billion, one hundred twenty-four million, three hundred forty thousand, one hundred twenty".