Search a number
-
+
100212001212000 = 25353611249109609
BaseRepresentation
bin10110110010010001101100…
…101111000000011001100000
3111010211011200122222221200110
4112302101230233000121200
5101113333134302241000
6553044431404251320
730052035544541436
oct2662215457003140
9433734618887613
10100212001212000
1129a267421875a7
12b2a5910540b40
1343bbc499324a2
141aa6402b48d56
15b8bb26653850
hex5b246cbc0660

100212001212000 has 384 divisors, whose sum is σ = 333946594800000. Its totient is φ = 26263830528000.

The previous prime is 100212001211977. The next prime is 100212001212007. The reversal of 100212001212000 is 212100212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212001212007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914213196 + ... + 914322804.

It is an arithmetic number, because the mean of its divisors is an integer number (869652590625).

Almost surely, 2100212001212000 is an apocalyptic number.

100212001212000 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 100212001212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166973297400000).

100212001212000 is an abundant number, since it is smaller than the sum of its proper divisors (233734593588000).

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

100212001212000 is a wasteful number, since it uses less digits than its factorization.

100212001212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110947 (or 110929 counting only the distinct ones).

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

Adding to 100212001212000 its reverse (212100212001), we get a palindrome (100424101424001).

Subtracting from 100212001212000 its reverse (212100212001), we obtain a palindrome (99999900999999).

It can be divided in two parts, 100212001 and 212000, that added together give a palindrome (100424001).

The spelling of 100212001212000 in words is "one hundred trillion, two hundred twelve billion, one million, two hundred twelve thousand".