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20211212000 = 255371937991
BaseRepresentation
bin10010110100101011…
…101001111011100000
31221011112221221122102
4102310223221323200
5312343032241000
613141312225532
71313565316220
oct226453517340
957145857572
1020211212000
11863177a7a1
123b0083b2a8
131ba1389355
14d9a386080
157d458c3d5
hex4b4ae9ee0

20211212000 has 192 divisors, whose sum is σ = 59741660160. Its totient is φ = 6564672000.

The previous prime is 20211211997. The next prime is 20211212003. The reversal of 20211212000 is 21211202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20211211997) and next prime (20211212003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513005 + ... + 550995.

It is an arithmetic number, because the mean of its divisors is an integer number (311154480).

Almost surely, 220211212000 is an apocalyptic number.

20211212000 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 20211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870830080).

20211212000 is an abundant number, since it is smaller than the sum of its proper divisors (39530448160).

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

20211212000 is a wasteful number, since it uses less digits than its factorization.

20211212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38042 (or 38024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20211212000 its reverse (21211202), we get a palindrome (20232423202).

The spelling of 20211212000 in words is "twenty billion, two hundred eleven million, two hundred twelve thousand".