10333011141200 has 120 divisors (see below), whose sum is σ = 27143577848640. Its totient is φ = 3748898764800.

The previous prime is 10333011141191. The next prime is 10333011141227. The reversal of 10333011141200 is 214111033301.

10333011141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10333011141200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743129 + ... + 4606328.

It is an arithmetic number, because the mean of its divisors is an integer number (226196482072).

Almost surely, 2^{10333011141200} is an apocalyptic number.

10333011141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333011141200 is an abundant number, since it is smaller than the sum of its proper divisors (16810566707440).

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

10333011141200 is a wasteful number, since it uses less digits than its factorization.

10333011141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349925 (or 5349914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10333011141200 its reverse (214111033301), we get a palindrome (10547122174501).

The spelling of 10333011141200 in words is "ten trillion, three hundred thirty-three billion, eleven million, one hundred forty-one thousand, two hundred".