Search a number
-
+
120121200126 = 23343173329851
BaseRepresentation
bin110111111011111001…
…0000000110111111110
3102111001110020012211000
41233313302000313332
53432002011401001
6131103302111130
711451500232354
oct1576762006776
9374043205730
10120121200126
1146a41316614
121b34441b4a6
13b434341615
145b574957d4
1531d0946a86
hex1bf7c80dfe

120121200126 has 64 divisors (see below), whose sum is σ = 273310583040. Its totient is φ = 39085351200.

The previous prime is 120121200107. The next prime is 120121200127. The reversal of 120121200126 is 621002121021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120121200099 and 120121200108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121200127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4009101 + ... + 4038951.

It is an arithmetic number, because the mean of its divisors is an integer number (4270477860).

Almost surely, 2120121200126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121200126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136655291520).

120121200126 is an abundant number, since it is smaller than the sum of its proper divisors (153189382914).

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

120121200126 is a wasteful number, since it uses less digits than its factorization.

120121200126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31638 (or 31632 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120121200126 its reverse (621002121021), we get a palindrome (741123321147).

The spelling of 120121200126 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1733 2322 3466 5199 10398 15597 29851 31194 46791 59702 74519 89553 93582 149038 179106 223557 268659 447114 537318 670671 805977 1283593 1341342 1611954 2012013 2567186 3850779 4024026 7701558 11552337 23104674 34657011 51731783 69314022 103463566 155195349 310390698 465586047 931172094 1396758141 2224466669 2793516282 4448933338 6673400007 13346800014 20020200021 40040400042 60060600063 120121200126