Search a number
-
+
122331321202320 = 2434561674619107
BaseRepresentation
bin11011110100001001111010…
…111100011111011010010000
3121001010202112002220211220000
4123310021322330133122100
5112013234021211433240
61112102122205050000
734524101115351336
oct3364117274373220
9531122462824800
10122331321202320
1135a8447071416a
1211878767b56900
135334a42804449
14222cc20749b56
15e221b98e8430
hex6f427af1f690

122331321202320 has 400 divisors, whose sum is σ = 438285429835968. Its totient is φ = 31607988065280.

The previous prime is 122331321202313. The next prime is 122331321202331. The reversal of 122331321202320 is 23202123133221.

122331321202320 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 132 + 1 + 202 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24174207 + ... + 28793313.

Almost surely, 2122331321202320 is an apocalyptic number.

122331321202320 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 122331321202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219142714917984).

122331321202320 is an abundant number, since it is smaller than the sum of its proper divisors (315954108633648).

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

122331321202320 is a wasteful number, since it uses less digits than its factorization.

122331321202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619260 (or 4619245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122331321202320 its reverse (23202123133221), we get a palindrome (145533444335541).

The spelling of 122331321202320 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred two thousand, three hundred twenty".