10112354335200 has 576 divisors, whose sum is σ = 36552150512640. Its totient is φ = 2412771778560.

The previous prime is 10112354335177. The next prime is 10112354335211. The reversal of 10112354335200 is 253345321101.

10112354335200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137211961 + ... + 137285639.

It is an arithmetic number, because the mean of its divisors is an integer number (63458594640).

Almost surely, 2^{10112354335200} is an apocalyptic number.

10112354335200 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 10112354335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276075256320).

10112354335200 is an abundant number, since it is smaller than the sum of its proper divisors (26439796177440).

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

10112354335200 is a wasteful number, since it uses less digits than its factorization.

10112354335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73851 (or 73838 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10112354335200 its reverse (253345321101), we get a palindrome (10365699656301).

It can be divided in two parts, 1011235 and 4335200, that added together give a palindrome (5346435).

The spelling of 10112354335200 in words is "ten trillion, one hundred twelve billion, three hundred fifty-four million, three hundred thirty-five thousand, two hundred".