242151114312000 has 336 divisors, whose sum is σ = 879143492440512. Its totient is φ = 63609843686400.

The previous prime is 242151114311969. The next prime is 242151114312001. The reversal of 242151114312000 is 213411151242.

242151114312000 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 511 + 143 + 1 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242151114312001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20274582 + ... + 29922581.

Almost surely, 2^{242151114312000} is an apocalyptic number.

242151114312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242151114312000 is an abundant number, since it is smaller than the sum of its proper divisors (636992378128512).

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

242151114312000 is a wasteful number, since it uses less digits than its factorization.

242151114312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50197263 (or 50197240 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 242151114312000 its reverse (213411151242), we get a palindrome (242364525463242).

The spelling of 242151114312000 in words is "two hundred forty-two trillion, one hundred fifty-one billion, one hundred fourteen million, three hundred twelve thousand".