33312222000 has 400 divisors, whose sum is σ = 122335053984. Its totient is φ = 8735040000.

The previous prime is 33312221989. The next prime is 33312222029. The reversal of 33312222000 is 22221333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×33312222000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9880315 + ... + 9883685.

Almost surely, 2^33312222000 is an apocalyptic number.

33312222000 is a gapful number since it is divisible by the number (30) 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 33312222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61167526992).

33312222000 is an abundant number, since it is smaller than the sum of its proper divisors (89022831984).

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

33312222000 is a wasteful number, since it uses less digits than its factorization.

33312222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33312222000 its reverse (22221333), we get a palindrome (33334443333).

The spelling of 33312222000 in words is "thirty-three billion, three hundred twelve million, two hundred twenty-two thousand".