222121502120000 has 420 divisors, whose sum is σ = 640842360723180. Its totient is φ = 76140675072000.

The previous prime is 222121502119987. The next prime is 222121502120009. The reversal of 222121502120000 is 21205121222.

It can be written as a sum of positive squares in 10 ways, for example, as 220769435489344 + 1352066630656 = 14858312^2 + 1162784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222121502120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14490272336 + ... + 14490287664.

It is an arithmetic number, because the mean of its divisors is an integer number (1525815144579).

Almost surely, 2^{222121502120000} is an apocalyptic number.

222121502120000 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 222121502120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320421180361590).

222121502120000 is an abundant number, since it is smaller than the sum of its proper divisors (418720858603180).

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

222121502120000 is an equidigital number, since it uses as much as digits as its factorization.

222121502120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22768 (or 22736 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 222121502120000 its reverse (21205121222), we get a palindrome (222142707241222).

The spelling of 222121502120000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, five hundred two million, one hundred twenty thousand".