242200031110000 has 100 divisors (see below), whose sum is σ = 592196344278264. Its totient is φ = 95920804000000.

The previous prime is 242200031109997. The next prime is 242200031110001. The reversal of 242200031110000 is 11130002242.

242200031110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200031110001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118891006 + ... + 120911005.

Almost surely, 2^{242200031110000} is an apocalyptic number.

242200031110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242200031110000 is an abundant number, since it is smaller than the sum of its proper divisors (349996313168264).

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

242200031110000 is a wasteful number, since it uses less digits than its factorization.

242200031110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239802140 (or 239802119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 242200031110000 its reverse (11130002242), we get a palindrome (242211161112242).

The spelling of 242200031110000 in words is "two hundred forty-two trillion, two hundred billion, thirty-one million, one hundred ten thousand".