Search a number
-
+
122978198016 = 2932177122111
BaseRepresentation
bin111001010001000010…
…0100110001000000000
3102202102120011202010200
41302202010212020000
54003324404314031
6132255001325200
711612341302312
oct1624204461000
9382376152120
10122978198016
1148177a943a3
121ba01196800
13b79b20720b
145d48ab57b2
1532eb68e8e6
hex1ca2126200

122978198016 has 240 divisors, whose sum is σ = 381111464448. Its totient is φ = 38036275200.

The previous prime is 122978198009. The next prime is 122978198047. The reversal of 122978198016 is 610891879221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5550801 + ... + 5572911.

Almost surely, 2122978198016 is an apocalyptic number.

122978198016 is a gapful number since it is divisible by the number (16) 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 122978198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190555732224).

122978198016 is an abundant number, since it is smaller than the sum of its proper divisors (258133266432).

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

122978198016 is a wasteful number, since it uses less digits than its factorization.

122978198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22223 (or 22204 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 122978198016 in words is "one hundred twenty-two billion, nine hundred seventy-eight million, one hundred ninety-eight thousand, sixteen".