141314122151200 has 72 divisors (see below), whose sum is σ = 347464993785840. Its totient is φ = 56118989472000.

The previous prime is 141314122151179. The next prime is 141314122151221. The reversal of 141314122151200 is 2151221413141.

It is an interprime number because it is at equal distance from previous prime (141314122151179) and next prime (141314122151221).

It is a super-2 number, since 2×141314122151200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635294026 + ... + 635516425.

It is an arithmetic number, because the mean of its divisors is an integer number (4825902691470).

Almost surely, 2^{141314122151200} is an apocalyptic number.

141314122151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141314122151200 is an abundant number, since it is smaller than the sum of its proper divisors (206150871634640).

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

141314122151200 is a wasteful number, since it uses less digits than its factorization.

141314122151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270810610 (or 1270810597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 141314122151200 its reverse (2151221413141), we get a palindrome (143465343564341).

The spelling of 141314122151200 in words is "one hundred forty-one trillion, three hundred fourteen billion, one hundred twenty-two million, one hundred fifty-one thousand, two hundred".