Search a number
-
+
12021100020012 = 2231001758335001
BaseRepresentation
bin1010111011101110000101…
…1001011000000100101100
31120120012120010111011211010
42232323201121120010230
53033423203101120022
641322230032425220
72350332031144566
oct256734131300454
946505503434733
1012021100020012
113915135632176
12142192a0a8210
1369277ac54325
142d7b7800a336
1515ca6a52850c
hexaeee165812c

12021100020012 has 12 divisors (see below), whose sum is σ = 28049233380056. Its totient is φ = 4007033340000.

The previous prime is 12021100020001. The next prime is 12021100020043. The reversal of 12021100020012 is 21002000112021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×120211000200122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1001758335001 = 12021100020012 / (1 + 2 + 0 + 2 + 1 + 1 + 0 + 0 + 0 + 2 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 12021100020012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500879167489 + ... + 500879167512.

Almost surely, 212021100020012 is an apocalyptic number.

12021100020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12021100020012 is an abundant number, since it is smaller than the sum of its proper divisors (16028133360044).

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

12021100020012 is a wasteful number, since it uses less digits than its factorization.

12021100020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001758335008 (or 1001758335006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021100020012 its reverse (21002000112021), we get a palindrome (33023100132033).

The spelling of 12021100020012 in words is "twelve trillion, twenty-one billion, one hundred million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 1001758335001 2003516670002 3005275005003 4007033340004 6010550010006 12021100020012