Search a number
-
+
122312220320 = 25519435915859
BaseRepresentation
bin111000111101001100…
…0000101111010100000
3102200201011000120111002
41301322120011322200
54000443412022240
6132104531211132
711560003501343
oct1617230057240
9380634016432
10122312220320
1147966072504
121b856146aa8
13b6c324a884
145cc447645a
1532ace8cd15
hex1c7a605ea0

122312220320 has 192 divisors, whose sum is σ = 316540224000. Its totient is φ = 44501861376.

The previous prime is 122312220307. The next prime is 122312220389. The reversal of 122312220320 is 23022213221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122312220292 and 122312220301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7704551 + ... + 7720409.

It is an arithmetic number, because the mean of its divisors is an integer number (1648647000).

Almost surely, 2122312220320 is an apocalyptic number.

122312220320 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 122312220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158270112000).

122312220320 is an abundant number, since it is smaller than the sum of its proper divisors (194228003680).

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

122312220320 is a wasteful number, since it uses less digits than its factorization.

122312220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122312220320 its reverse (23022213221), we get a palindrome (145334433541).

The spelling of 122312220320 in words is "one hundred twenty-two billion, three hundred twelve million, two hundred twenty thousand, three hundred twenty".