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212020321200 = 243521731893767
BaseRepresentation
bin1100010101110101100…
…1010101101110110000
3202021021001122021021220
43011131121111232300
511433204200234300
6241222323145040
721214026665142
oct3053531255660
9667231567256
10212020321200
1181a0aa42456
1235111215180
1316cbb74a37c
14a3946acc92
1557ad8aada0
hex315d655bb0

212020321200 has 480 divisors, whose sum is σ = 750860513280. Its totient is φ = 50904268800.

The previous prime is 212020321157. The next prime is 212020321267. The reversal of 212020321200 is 2123020212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212020321200.

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, 56281717 + ... + 56285483.

It is an arithmetic number, because the mean of its divisors is an integer number (1564292736).

Almost surely, 2212020321200 is an apocalyptic number.

212020321200 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 212020321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375430256640).

212020321200 is an abundant number, since it is smaller than the sum of its proper divisors (538840192080).

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

212020321200 is a wasteful number, since it uses less digits than its factorization.

212020321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212020321200 its reverse (2123020212), we get a palindrome (214143341412).

The spelling of 212020321200 in words is "two hundred twelve billion, twenty million, three hundred twenty-one thousand, two hundred".