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122130313323200 = 26527135315826549
BaseRepresentation
bin11011110001001110101101…
…111100010010001011000000
3121000102112200112010121011022
4123301032231330102023000
5112001440340202320300
61111425520312405012
734503424005516260
oct3361165574221300
9530375615117138
10122130313323200
1135a071a1a38516
121184580a9a6768
13531baba7499c0
1422231d28697a0
15e1bd52c38285
hex6f13adf122c0

122130313323200 has 336 divisors, whose sum is σ = 376845602212800. Its totient is φ = 37922941255680.

The previous prime is 122130313323199. The next prime is 122130313323257. The reversal of 122130313323200 is 2323313031221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 122130313323200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196475 + ... + 15630074.

It is an arithmetic number, because the mean of its divisors is an integer number (1121564292300).

Almost surely, 2122130313323200 is an apocalyptic number.

122130313323200 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 122130313323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188422801106400).

122130313323200 is an abundant number, since it is smaller than the sum of its proper divisors (254715288889600).

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

122130313323200 is a wasteful number, since it uses less digits than its factorization.

122130313323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15826644 (or 15826629 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 122130313323200 its reverse (2323313031221), we get a palindrome (124453626354421).

The spelling of 122130313323200 in words is "one hundred twenty-two trillion, one hundred thirty billion, three hundred thirteen million, three hundred twenty-three thousand, two hundred".