1214134272000 has 1200 divisors, whose sum is σ = 4883754107232. Its totient is φ = 298332979200.

The previous prime is 1214134271963. The next prime is 1214134272011. The reversal of 1214134272000 is 2724314121.

1214134272000 is a `hidden beast` number, since 1 + 2 + 1 + 413 + 42 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2156543719 + ... + 2156544281.

Almost surely, 2^{1214134272000} is an apocalyptic number.

1214134272000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214134272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441877053616).

1214134272000 is an abundant number, since it is smaller than the sum of its proper divisors (3669619835232).

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

1214134272000 is an frugal number, since it uses more digits than its factorization.

1214134272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1214134272000 its reverse (2724314121), we get a palindrome (1216858586121).

The spelling of 1214134272000 in words is "one trillion, two hundred fourteen billion, one hundred thirty-four million, two hundred seventy-two thousand".