Search a number
-
+
122123232000 = 2832537115507
BaseRepresentation
bin111000110111100011…
…1001010001100000000
3102200012222101222020200
41301233013022030000
54000102021411000
6132034100405200
711552220226110
oct1615707121400
9380188358220
10122123232000
1147879420810
121b8029a6800
13b69304a773
145ca731d040
15329b5ab500
hex1c6f1ca300

122123232000 has 864 divisors, whose sum is σ = 547966508544. Its totient is φ = 25371648000.

The previous prime is 122123231987. The next prime is 122123232001. The reversal of 122123232000 is 232321221.

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

It is not an unprimeable number, because it can be changed into a prime (122123232001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22173247 + ... + 22178753.

It is an arithmetic number, because the mean of its divisors is an integer number (634220496).

Almost surely, 2122123232000 is an apocalyptic number.

122123232000 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 122123232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273983254272).

122123232000 is an abundant number, since it is smaller than the sum of its proper divisors (425843276544).

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

122123232000 is a wasteful number, since it uses less digits than its factorization.

122123232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122123232000 its reverse (232321221), we get a palindrome (122355553221).

The spelling of 122123232000 in words is "one hundred twenty-two billion, one hundred twenty-three million, two hundred thirty-two thousand".