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21712212000 = 253453193527
BaseRepresentation
bin10100001110001001…
…100001000000100000
32002001011100122120000
4110032021201000200
5323431311241000
613550252020000
71366022520423
oct241611410040
962034318500
1021712212000
119231a83266
12425b461600
13208033b82b
14109d8699ba
15871233000
hex50e261020

21712212000 has 480 divisors, whose sum is σ = 83909105280. Its totient is φ = 5483635200.

The previous prime is 21712211977. The next prime is 21712212001. The reversal of 21712212000 is 21221712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21712212001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6154237 + ... + 6157763.

It is an arithmetic number, because the mean of its divisors is an integer number (174810636).

Almost surely, 221712212000 is an apocalyptic number.

21712212000 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 21712212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41954552640).

21712212000 is an abundant number, since it is smaller than the sum of its proper divisors (62196893280).

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

21712212000 is a wasteful number, since it uses less digits than its factorization.

21712212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 21712212000 its reverse (21221712), we get a palindrome (21733433712).

The spelling of 21712212000 in words is "twenty-one billion, seven hundred twelve million, two hundred twelve thousand".