1214553400200 has 288 divisors, whose sum is σ = 4698283100160. Its totient is φ = 275425920000.

The previous prime is 1214553400157. The next prime is 1214553400217. The reversal of 1214553400200 is 20043554121.

1214553400200 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 53 + 400 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1220700 + ... + 1979700.

Almost surely, 2^{1214553400200} is an apocalyptic number.

1214553400200 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 1214553400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349141550080).

1214553400200 is an abundant number, since it is smaller than the sum of its proper divisors (3483729699960).

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

1214553400200 is a wasteful number, since it uses less digits than its factorization.

1214553400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759157 (or 759145 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1214553400200 its reverse (20043554121), we get a palindrome (1234596954321).

The spelling of 1214553400200 in words is "one trillion, two hundred fourteen billion, five hundred fifty-three million, four hundred thousand, two hundred".