Search a number
-
+
122331144355420 = 2257112132122334939
BaseRepresentation
bin11011110100001001110000…
…011001110111111001011100
3121001010202001210011002112211
4123310021300121313321130
5112013233140423333140
61112102052450410204
734524063540234610
oct3364116031677134
9531122053132484
10122331144355420
1135a8438a905500
1211878718890964
135334a14c95800
14222cc05073340
15e221a91142ea
hex6f4270677e5c

122331144355420 has 432 divisors, whose sum is σ = 349740822090240. Its totient is φ = 35166388308480.

The previous prime is 122331144355361. The next prime is 122331144355463. The reversal of 122331144355420 is 24553441133221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3501260311 + ... + 3501295249.

It is an arithmetic number, because the mean of its divisors is an integer number (809585236320).

Almost surely, 2122331144355420 is an apocalyptic number.

122331144355420 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 122331144355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174870411045120).

122331144355420 is an abundant number, since it is smaller than the sum of its proper divisors (227409677734820).

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

122331144355420 is a wasteful number, since it uses less digits than its factorization.

122331144355420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36226 (or 36200 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 122331144355420 its reverse (24553441133221), we get a palindrome (146884585488641).

The spelling of 122331144355420 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred forty-four million, three hundred fifty-five thousand, four hundred twenty".