Search a number
-
+
12120022200020 = 2257330732617591
BaseRepresentation
bin1011000001011110100110…
…0111100010111011010100
31120220122220012000120222212
42300113221213202323110
53042033301140400040
641435510014212552
72360433306616010
oct260275147427324
946818805016885
1012120022200020
113953088622149
121438b36ab4158
1369bbb437a857
142dc87dc63540
15160409d0dd65
hexb05e99e2ed4

12120022200020 has 48 divisors (see below), whose sum is σ = 29088943903488. Its totient is φ = 4155308951040.

The previous prime is 12120022199983. The next prime is 12120022200037. The reversal of 12120022200020 is 2000222002121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12120022199968 and 12120022200004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3321425 + ... + 5939015.

It is an arithmetic number, because the mean of its divisors is an integer number (606019664656).

Almost surely, 212120022200020 is an apocalyptic number.

12120022200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120022200020 is an abundant number, since it is smaller than the sum of its proper divisors (16968921703468).

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

12120022200020 is a wasteful number, since it uses less digits than its factorization.

12120022200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650680 (or 2650678 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12120022200020 its reverse (2000222002121), we get a palindrome (14120244202141).

The spelling of 12120022200020 in words is "twelve trillion, one hundred twenty billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 33073 66146 132292 165365 231511 330730 463022 661460 926044 1157555 2315110 2617591 4630220 5235182 10470364 13087955 18323137 26175910 36646274 52351820 73292548 91615685 183231370 366462740 86571587143 173143174286 346286348572 432857935715 606001110001 865715871430 1212002220002 1731431742860 2424004440004 3030005550005 6060011100010 12120022200020