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20200212221200 = 245211101373912157
BaseRepresentation
bin1001001011111001110100…
…11110010100110100010000
32122112010021112002010220121
410211330322132110310100
510121430013312034300
6110543503244520024
74153263042563404
oct445747236246420
978463245063817
1020200212221200
1164889531a9160
122322b2a250014
13b36b44578a8b
144db9a45c3104
152506c1c7a81a
hex125f3a794d10

20200212221200 has 240 divisors, whose sum is σ = 53485806242880. Its totient is φ = 7270260480000.

The previous prime is 20200212221177. The next prime is 20200212221249. The reversal of 20200212221200 is 212221200202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1661605522 + ... + 1661617678.

It is an arithmetic number, because the mean of its divisors is an integer number (222857526012).

Almost surely, 220200212221200 is an apocalyptic number.

20200212221200 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 20200212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26742903121440).

20200212221200 is an abundant number, since it is smaller than the sum of its proper divisors (33285594021680).

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

20200212221200 is a wasteful number, since it uses less digits than its factorization.

20200212221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026 (or 16015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20200212221200 its reverse (212221200202), we get a palindrome (20412433421402).

The spelling of 20200212221200 in words is "twenty trillion, two hundred billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".