Search a number
-
+
122310030000 = 2435419892411
BaseRepresentation
bin111000111101000111…
…1101111001010110000
3102200200222220021221010
41301322033233022300
54000442331430000
6132104412230520
711556646046514
oct1617217571260
9380628807833
10122310030000
1147964906924
121b85546b440
13b6c2961922
145cc4066144
1532acba8d50
hex1c7a3ef2b0

122310030000 has 400 divisors, whose sum is σ = 420457910400. Its totient is φ = 30539520000.

The previous prime is 122310029971. The next prime is 122310030013. The reversal of 122310030000 is 30013221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50728795 + ... + 50731205.

It is an arithmetic number, because the mean of its divisors is an integer number (1051144776).

Almost surely, 2122310030000 is an apocalyptic number.

122310030000 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 122310030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210228955200).

122310030000 is an abundant number, since it is smaller than the sum of its proper divisors (298147880400).

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

122310030000 is a wasteful number, since it uses less digits than its factorization.

122310030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 122310030000 its reverse (30013221), we get a palindrome (122340043221).

The spelling of 122310030000 in words is "one hundred twenty-two billion, three hundred ten million, thirty thousand".