Search a number
-
+
122400213140 = 2256120010657
BaseRepresentation
bin111000111111110011…
…1110000100010010100
3102200221021121001221102
41301333213300202110
54001133423310030
6132121353205232
711562122434232
oct1617747604224
9380837531842
10122400213140
1147a00802847
121b87b700818
13b70854902a
145cd201d952
1532b5a6ec45
hex1c7f9f0894

122400213140 has 12 divisors (see below), whose sum is σ = 257040447636. Its totient is φ = 48960085248.

The previous prime is 122400213119. The next prime is 122400213161. The reversal of 122400213140 is 41312004221.

It is an interprime number because it is at equal distance from previous prime (122400213119) and next prime (122400213161).

It can be written as a sum of positive squares in 2 ways, for example, as 13582037764 + 108818175376 = 116542^2 + 329876^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6120010657 = 122400213140 / (1 + 2 + 2 + 4 + 0 + 0 + 2 + 1 + 3 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3060005309 + ... + 3060005348.

It is an arithmetic number, because the mean of its divisors is an integer number (21420037303).

Almost surely, 2122400213140 is an apocalyptic number.

122400213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122400213140 is an abundant number, since it is smaller than the sum of its proper divisors (134640234496).

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

122400213140 is a wasteful number, since it uses less digits than its factorization.

122400213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120010666 (or 6120010664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122400213140 its reverse (41312004221), we get a palindrome (163712217361).

The spelling of 122400213140 in words is "one hundred twenty-two billion, four hundred million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6120010657 12240021314 24480042628 30600053285 61200106570 122400213140