Search a number
-
+
122556830000 = 2454119111223
BaseRepresentation
bin111001000100011110…
…1001101000100110000
3102201100012022000212212
41302020331031010300
54001444022030000
6132145110111252
711566033603163
oct1621075150460
9381305260785
10122556830000
1147a81154370
121b90404b528
13b731b23927
145d08b4bada
1532c46a9c35
hex1c88f4d130

122556830000 has 200 divisors, whose sum is σ = 324317385216. Its totient is φ = 44480800000.

The previous prime is 122556829961. The next prime is 122556830003. The reversal of 122556830000 is 38655221.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (122556830003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100209389 + ... + 100210611.

Almost surely, 2122556830000 is an apocalyptic number.

122556830000 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 122556830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162158692608).

122556830000 is an abundant number, since it is smaller than the sum of its proper divisors (201760555216).

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

122556830000 is a wasteful number, since it uses less digits than its factorization.

122556830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 122556830000 in words is "one hundred twenty-two billion, five hundred fifty-six million, eight hundred thirty thousand".