242101402134000 has 160 divisors (see below), whose sum is σ = 786150282328320. Its totient is φ = 64095910560000.

The previous prime is 242101402133873. The next prime is 242101402134017. The reversal of 242101402134000 is 431204101242.

It is a super-2 number, since 2×242101402134000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144310726 + ... + 145978725.

It is an arithmetic number, because the mean of its divisors is an integer number (4913439264552).

Almost surely, 2^{242101402134000} is an apocalyptic number.

242101402134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242101402134000 is an abundant number, since it is smaller than the sum of its proper divisors (544048880194320).

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

242101402134000 is a wasteful number, since it uses less digits than its factorization.

242101402134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290289616 (or 290289600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242101402134000 its reverse (431204101242), we get a palindrome (242532606235242).

The spelling of 242101402134000 in words is "two hundred forty-two trillion, one hundred one billion, four hundred two million, one hundred thirty-four thousand".