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120022122444 = 22375383324809
BaseRepresentation
bin110111111000111100…
…0000011111111001100
3102110210112210112210020
41233301320003333030
53431301130404234
6131045402342140
711446155131220
oct1576170037714
9373715715706
10120022122444
11469a03a5034
121b3171ba950
13b419961883
145b48264780
1531c6dc5549
hex1bf1e03fcc

120022122444 has 96 divisors (see below), whose sum is σ = 330027747840. Its totient is φ = 33239551488.

The previous prime is 120022122421. The next prime is 120022122449. The reversal of 120022122444 is 444221220021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120022122449) 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, 207112 + ... + 531920.

It is an arithmetic number, because the mean of its divisors is an integer number (3437789040).

Almost surely, 2120022122444 is an apocalyptic number.

120022122444 is a gapful number since it is divisible by the number (14) 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 120022122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165013873920).

120022122444 is an abundant number, since it is smaller than the sum of its proper divisors (210005625396).

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

120022122444 is a wasteful number, since it uses less digits than its factorization.

120022122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324959 (or 324957 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120022122444 its reverse (444221220021), we get a palindrome (564243342465).

The spelling of 120022122444 in words is "one hundred twenty billion, twenty-two million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 83 84 106 159 166 212 249 318 332 371 498 581 636 742 996 1113 1162 1484 1743 2226 2324 3486 4399 4452 6972 8798 13197 17596 26394 30793 52788 61586 92379 123172 184758 324809 369516 649618 974427 1299236 1948854 2273663 3897708 4547326 6820989 9094652 13641978 17214877 26959147 27283956 34429754 51644631 53918294 68859508 80877441 103289262 107836588 120504139 161754882 188714029 206578524 241008278 323509764 361512417 377428058 482016556 566142087 723024834 754856116 1132284174 1428834791 1446049668 2264568348 2857669582 4286504373 5715339164 8573008746 10001843537 17146017492 20003687074 30005530611 40007374148 60011061222 120022122444