Search a number
-
+
101212122121200 = 24335231793826661
BaseRepresentation
bin10111000000110101001000…
…100101100000001111110000
3111021100210011210221012102000
4113000311020211200033300
5101231224411230334300
6555132112414254000
730214222511156436
oct2700651045401760
9437323153835360
10101212122121200
112a281902385352
12b427706ab7300
134462353c82a1c
141adc99b266d56
15ba7b5d7eec00
hex5c0d489603f0

101212122121200 has 480 divisors, whose sum is σ = 376568031436800. Its totient is φ = 25788627072000.

The previous prime is 101212122121193. The next prime is 101212122121213. The reversal of 101212122121200 is 2121221212101.

101212122121200 is a `hidden beast` number, since 1 + 0 + 121 + 212 + 212 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24535870 + ... + 28362530.

It is an arithmetic number, because the mean of its divisors is an integer number (784516732160).

Almost surely, 2101212122121200 is an apocalyptic number.

101212122121200 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 101212122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188284015718400).

101212122121200 is an abundant number, since it is smaller than the sum of its proper divisors (275355909315600).

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

101212122121200 is a wasteful number, since it uses less digits than its factorization.

101212122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826798 (or 3826781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212122121200 its reverse (2121221212101), we get a palindrome (103333343333301).

Subtracting from 101212122121200 its reverse (2121221212101), we obtain a palindrome (99090900909099).

The spelling of 101212122121200 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".