Search a number
-
+
21121212000000 = 283567251443
BaseRepresentation
bin1001100110101101010100…
…10101101010011100000000
32202210011112120122112002010
410303112222111222130000
510232022220233000000
6112530541214252520
74306646215541010
oct463265225523400
982704476575063
1021121212000000
1168035015aa642
1224515231b7140
13ba294c8a00a8
145303b4981c40
15269627badd50
hex1335aa56a700

21121212000000 has 504 divisors, whose sum is σ = 80303899596928. Its totient is φ = 4827686400000.

The previous prime is 21121211999977. The next prime is 21121212000013. The reversal of 21121212000000 is 21212112.

It is a super-2 number, since 2×211212120000002 (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).

It is a self number, because there is not a number n which added to its sum of digits gives 21121212000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83874279 + ... + 84125721.

Almost surely, 221121212000000 is an apocalyptic number.

21121212000000 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 21121212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40151949798464).

21121212000000 is an abundant number, since it is smaller than the sum of its proper divisors (59182687596928).

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

21121212000000 is an frugal number, since it uses more digits than its factorization.

21121212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251499 (or 251460 counting only the distinct ones).

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

Adding to 21121212000000 its reverse (21212112), we get a palindrome (21121233212112).

The spelling of 21121212000000 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twelve million", and thus it is an aban number.