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12021101000 = 235320635827
BaseRepresentation
bin10110011001000001…
…10111000111001000
31011000202211012110222
423030200313013020
5144104400213000
65304501525212
7603615446456
oct131440670710
934022735428
1012021101000
115109664117
1223b5a13808
13119764211c
148207519d6
154a553ca85
hex2cc8371c8

12021101000 has 64 divisors (see below), whose sum is σ = 28147841280. Its totient is φ = 4805284800.

The previous prime is 12021100997. The next prime is 12021101003. The reversal of 12021101000 is 10112021.

It is an interprime number because it is at equal distance from previous prime (12021100997) and next prime (12021101003).

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 (12021101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2060087 + ... + 2065913.

It is an arithmetic number, because the mean of its divisors is an integer number (439810020).

Almost surely, 212021101000 is an apocalyptic number.

12021101000 is a gapful number since it is divisible by the number (10) 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 12021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073920640).

12021101000 is an abundant number, since it is smaller than the sum of its proper divisors (16126740280).

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

12021101000 is a wasteful number, since it uses less digits than its factorization.

12021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7897 counting only the distinct ones).

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

Adding to 12021101000 its reverse (10112021), we get a palindrome (12031213021).

The spelling of 12021101000 in words is "twelve billion, twenty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2063 4126 5827 8252 10315 11654 16504 20630 23308 29135 41260 46616 51575 58270 82520 103150 116540 145675 206300 233080 257875 291350 412600 515750 582700 728375 1031500 1165400 1456750 2063000 2913500 5827000 12021101 24042202 48084404 60105505 96168808 120211010 240422020 300527525 480844040 601055050 1202110100 1502637625 2404220200 3005275250 6010550500 12021101000