200212220101920 has 384 divisors, whose sum is σ = 720186469035264. Its totient is φ = 46316078628864.

The previous prime is 200212220101877. The next prime is 200212220101921. The reversal of 200212220101920 is 29101022212002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (200212220101921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71070964 + ... + 73834316.

It is an arithmetic number, because the mean of its divisors is an integer number (1875485596446).

Almost surely, 2^{200212220101920} is an apocalyptic number.

200212220101920 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 200212220101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360093234517632).

200212220101920 is an abundant number, since it is smaller than the sum of its proper divisors (519974248933344).

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

200212220101920 is a wasteful number, since it uses less digits than its factorization.

200212220101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764084 (or 2764076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 200212220101920 its reverse (29101022212002), we get a palindrome (229313242313922).

The spelling of 200212220101920 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred one thousand, nine hundred twenty".