10035503141200 has 120 divisors (see below), whose sum is σ = 24403591070208. Its totient is φ = 3965380823040.

The previous prime is 10035503141129. The next prime is 10035503141201. The reversal of 10035503141200 is 214130553001.

It is a happy number.

It is a super-2 number, since 2×10035503141200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035503141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554530552 + ... + 554548648.

Almost surely, 2^{10035503141200} is an apocalyptic number.

10035503141200 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 10035503141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201795535104).

10035503141200 is an abundant number, since it is smaller than the sum of its proper divisors (14368087929008).

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

10035503141200 is a wasteful number, since it uses less digits than its factorization.

10035503141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34901 (or 34890 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10035503141200 its reverse (214130553001), we get a palindrome (10249633694201).

The spelling of 10035503141200 in words is "ten trillion, thirty-five billion, five hundred three million, one hundred forty-one thousand, two hundred".