Search a number
-
+
122054900660 = 2257211193147409
BaseRepresentation
bin111000110101100001…
…0011111101110110100
3102200001012211101021022
41301223002133232310
53444432023310120
6132023220040312
711550430352300
oct1615302375664
9380035741238
10122054900660
114784389a430
121b7a3b33098
13b681b44614
145c9c212d00
1532955b0025
hex1c6b09fbb4

122054900660 has 576 divisors, whose sum is σ = 361834905600. Its totient is φ = 34052659200.

The previous prime is 122054900651. The next prime is 122054900689. The reversal of 122054900660 is 66009450221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 122054900660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298422536 + ... + 298422944.

It is an arithmetic number, because the mean of its divisors is an integer number (628185600).

Almost surely, 2122054900660 is an apocalyptic number.

122054900660 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 122054900660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180917452800).

122054900660 is an abundant number, since it is smaller than the sum of its proper divisors (239780004940).

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

122054900660 is a wasteful number, since it uses less digits than its factorization.

122054900660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 122054900660 in words is "one hundred twenty-two billion, fifty-four million, nine hundred thousand, six hundred sixty".