10120241200 has 60 divisors (see below), whose sum is σ = 24330605688. Its totient is φ = 4045312000.

The previous prime is 10120241189. The next prime is 10120241203. The reversal of 10120241200 is 214202101.

It is a happy number.

It is a super-3 number, since 3×10120241200³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632499 + ... + 648301.

Almost surely, 2^10120241200 is an apocalyptic number.

10120241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120241200 is an abundant number, since it is smaller than the sum of its proper divisors (14210364488).

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

10120241200 is a wasteful number, since it uses less digits than its factorization.

10120241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17422 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10120241200 its reverse (214202101), we get a palindrome (10334443301).

The spelling of 10120241200 in words is "ten billion, one hundred twenty million, two hundred forty-one thousand, two hundred".