102222001233000 has 384 divisors, whose sum is σ = 378000526176000. Its totient is φ = 24710076864000.

The previous prime is 102222001232993. The next prime is 102222001233049. The reversal of 102222001233000 is 332100222201.

102222001233000 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 0 + 123 + 300 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 33071709 + ... + 36030291.

It is an arithmetic number, because the mean of its divisors is an integer number (984376370250).

Almost surely, 2^{102222001233000} is an apocalyptic number.

102222001233000 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 102222001233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000263088000).

102222001233000 is an abundant number, since it is smaller than the sum of its proper divisors (275778524943000).

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

102222001233000 is a wasteful number, since it uses less digits than its factorization.

102222001233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958970 (or 2958953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102222001233000 its reverse (332100222201), we get a palindrome (102554101455201).

The spelling of 102222001233000 in words is "one hundred two trillion, two hundred twenty-two billion, one million, two hundred thirty-three thousand".