240231121142100 has 288 divisors, whose sum is σ = 764602097667072. Its totient is φ = 57751833600000.

The previous prime is 240231121142099. The next prime is 240231121142119. The reversal of 240231121142100 is 1241121132042.

240231121142100 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-4 number, since 4×240231121142100⁴ (a number of 59 digits) contains 4444 as substring.

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, 287101335 + ... + 287936865.

Almost surely, 2^{240231121142100} is an apocalyptic number.

240231121142100 is a gapful number since it is divisible by the number (20) 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 240231121142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382301048833536).

240231121142100 is an abundant number, since it is smaller than the sum of its proper divisors (524370976524972).

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

240231121142100 is a wasteful number, since it uses less digits than its factorization.

240231121142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836287 (or 836280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 240231121142100 its reverse (1241121132042), we get a palindrome (241472242274142).

The spelling of 240231121142100 in words is "two hundred forty trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred".