214240142121000 has 128 divisors (see below), whose sum is σ = 669587705055360. Its totient is φ = 57031690752000.

The previous prime is 214240142120959. The next prime is 214240142121017. The reversal of 214240142121000 is 121241042412.

It is a happy number.

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

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, 60152346 + ... + 63614345.

It is an arithmetic number, because the mean of its divisors is an integer number (5231153945745).

Almost surely, 2^{214240142121000} is an apocalyptic number.

214240142121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214240142121000 is an abundant number, since it is smaller than the sum of its proper divisors (455347562934360).

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

214240142121000 is a wasteful number, since it uses less digits than its factorization.

214240142121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123767292 (or 123767278 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214240142121000 its reverse (121241042412), we get a palindrome (214361383163412).

The spelling of 214240142121000 in words is "two hundred fourteen trillion, two hundred forty billion, one hundred forty-two million, one hundred twenty-one thousand".