220210122000 has 640 divisors, whose sum is σ = 797888931840. Its totient is φ = 51797760000.

The previous prime is 220210121983. The next prime is 220210122017. The reversal of 220210122000 is 221012022.

It is an interprime number because it is at equal distance from previous prime (220210121983) and next prime (220210122017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 334157671 + ... + 334158329.

It is an arithmetic number, because the mean of its divisors is an integer number (1246701456).

Almost surely, 2^220210122000 is an apocalyptic number.

220210122000 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 220210122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398944465920).

220210122000 is an abundant number, since it is smaller than the sum of its proper divisors (577678809840).

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

220210122000 is a wasteful number, since it uses less digits than its factorization.

220210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220210122000 its reverse (221012022), we get a palindrome (220431134022).

The spelling of 220210122000 in words is "two hundred twenty billion, two hundred ten million, one hundred twenty-two thousand".