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12210101000 = 235312210101
BaseRepresentation
bin10110101111100011…
…10101101100001000
31011111221110101201222
423113301311230020
5200001241213000
65335332501212
7611402101046
oct132761655410
934457411658
1012210101000
1151a6313669
12244917a808
1311c7847646
1483b8ad396
154b6e22a85
hex2d7c75b08

12210101000 has 32 divisors (see below), whose sum is σ = 28571638680. Its totient is φ = 4884040000.

The previous prime is 12210100993. The next prime is 12210101009. The reversal of 12210101000 is 10101221.

It can be written as a sum of positive squares in 4 ways, for example, as 2098189636 + 10111911364 = 45806^2 + 100558^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12210101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6104051 + ... + 6106050.

Almost surely, 212210101000 is an apocalyptic number.

12210101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210101000 is an abundant number, since it is smaller than the sum of its proper divisors (16361537680).

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

12210101000 is a wasteful number, since it uses less digits than its factorization.

12210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210122 (or 12210108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12210101000 its reverse (10101221), we get a palindrome (12220202221).

It can be divided in two parts, 12 and 210101000, that added together give a palindrome (210101012).

The spelling of 12210101000 in words is "twelve billion, two hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12210101 24420202 48840404 61050505 97680808 122101010 244202020 305252525 488404040 610505050 1221010100 1526262625 2442020200 3052525250 6105050500 12210101000