222312312312300 has 1440 divisors, whose sum is σ = 902176337018880. Its totient is φ = 46179586252800.

The previous prime is 222312312312247. The next prime is 222312312312323. The reversal of 222312312312300 is 3213213213222.

222312312312300 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 1 + 2 + 312 + 312 + 30 + 0 = 666.

222312312312300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222312312312300² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13834848666 + ... + 13834864734.

It is an arithmetic number, because the mean of its divisors is an integer number (626511345152).

Almost surely, 2^{222312312312300} is an apocalyptic number.

222312312312300 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 222312312312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451088168509440).

222312312312300 is an abundant number, since it is smaller than the sum of its proper divisors (679864024706580).

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

222312312312300 is a wasteful number, since it uses less digits than its factorization.

222312312312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16613 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222312312312300 its reverse (3213213213222), we get a palindrome (225525525525522).

The spelling of 222312312312300 in words is "two hundred twenty-two trillion, three hundred twelve billion, three hundred twelve million, three hundred twelve thousand, three hundred".