222212001011000 has 1024 divisors, whose sum is σ = 707260946595840. Its totient is φ = 63103207680000.

The previous prime is 222212001010981. The next prime is 222212001011009. The reversal of 222212001011000 is 110100212222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222212001011009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30311277335 + ... + 30311284665.

It is an arithmetic number, because the mean of its divisors is an integer number (690684518160).

Almost surely, 2^{222212001011000} is an apocalyptic number.

222212001011000 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 222212001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353630473297920).

222212001011000 is an abundant number, since it is smaller than the sum of its proper divisors (485048945584840).

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

222212001011000 is a wasteful number, since it uses less digits than its factorization.

222212001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222212001011000 its reverse (110100212222), we get a palindrome (222322101223222).

The spelling of 222212001011000 in words is "two hundred twenty-two trillion, two hundred twelve billion, one million, eleven thousand".