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20122110000 = 243254476771
BaseRepresentation
bin10010101111010111…
…110000100000110000
31220221100022002200100
4102233113300200300
5312202230010000
613124410352400
71311434053506
oct225727604060
956840262610
1020122110000
118596452083
123a96a2b700
131b88a90085
14d8c5d0676
157cb83ba00
hex4af5f0830

20122110000 has 600 divisors, whose sum is σ = 73967122944. Its totient is φ = 5100480000.

The previous prime is 20122109989. The next prime is 20122110049. The reversal of 20122110000 is 1122102.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 283409965 + ... + 283410035.

Almost surely, 220122110000 is an apocalyptic number.

20122110000 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 20122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36983561472).

20122110000 is an abundant number, since it is smaller than the sum of its proper divisors (53845012944).

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

20122110000 is a wasteful number, since it uses less digits than its factorization.

20122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20122110000 its reverse (1122102), we get a palindrome (20123232102).

The spelling of 20122110000 in words is "twenty billion, one hundred twenty-two million, one hundred ten thousand".