2227116121200 has 360 divisors, whose sum is σ = 7941532649856. Its totient is φ = 577559808000.

The previous prime is 2227116121147. The next prime is 2227116121291. The reversal of 2227116121200 is 21216117222.

It is a happy number.

2227116121200 is a `hidden beast` number, since 2 + 2 + 27 + 1 + 1 + 612 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 461002785 + ... + 461007615.

Almost surely, 2^{2227116121200} is an apocalyptic number.

2227116121200 is a gapful number since it is divisible by the number (20) 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 2227116121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970766324928).

2227116121200 is an abundant number, since it is smaller than the sum of its proper divisors (5714416528656).

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

2227116121200 is a wasteful number, since it uses less digits than its factorization.

2227116121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 2227116121200 in words is "two trillion, two hundred twenty-seven billion, one hundred sixteen million, one hundred twenty-one thousand, two hundred".