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210211212000 = 25353193472657
BaseRepresentation
bin1100001111000110010…
…0001000101011100000
3202002120222111000000110
43003301210020223200
511421003032241000
6240323015451320
721121141551246
oct3036144105340
9662528430013
10210211212000
1181171826989
12348a7386b40
1316a909bb05a
14a262304796
155704b53850
hex30f1908ae0

210211212000 has 384 divisors, whose sum is σ = 727259420160. Its totient is φ = 52933017600.

The previous prime is 210211211993. The next prime is 210211212031. The reversal of 210211212000 is 212112012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79114672 + ... + 79117328.

It is an arithmetic number, because the mean of its divisors is an integer number (1893904740).

Almost surely, 2210211212000 is an apocalyptic number.

210211212000 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 210211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363629710080).

210211212000 is an abundant number, since it is smaller than the sum of its proper divisors (517048208160).

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

210211212000 is a wasteful number, since it uses less digits than its factorization.

210211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210211212000 its reverse (212112012), we get a palindrome (210423324012).

It can be divided in two parts, 2102112 and 12000, that added together give a palindrome (2114112).

The spelling of 210211212000 in words is "two hundred ten billion, two hundred eleven million, two hundred twelve thousand".