Search a number
-
+
20011212120000 = 26354538935353
BaseRepresentation
bin1001000110011001110010…
…01100001001111111000000
32121212001102210001012211110
410203030321030021333000
510110330430300320000
6110321005100443320
74133522330331243
oct443147114117700
977761383035743
1020011212120000
116415786606812
1222b2382549540
13b2208414a17a
144d279538725a
1524a80e375850
hex123339309fc0

20011212120000 has 560 divisors, whose sum is σ = 68169415929120. Its totient is φ = 5176664064000.

The previous prime is 20011212119999. The next prime is 20011212120023. The reversal of 20011212120000 is 2121211002.

It is a super-2 number, since 2×200112121200002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566022324 + ... + 566057676.

Almost surely, 220011212120000 is an apocalyptic number.

20011212120000 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 20011212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084707964560).

20011212120000 is an abundant number, since it is smaller than the sum of its proper divisors (48158203809120).

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

20011212120000 is an equidigital number, since it uses as much as digits as its factorization.

20011212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35530 (or 35505 counting only the distinct ones).

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

Adding to 20011212120000 its reverse (2121211002), we get a palindrome (20013333331002).

The spelling of 20011212120000 in words is "twenty trillion, eleven billion, two hundred twelve million, one hundred twenty thousand".