Search a number
-
+
1122452244120 = 2335191108745053
BaseRepresentation
bin10000010101010111010…
…111100000011010011000
310222022020121220221111210
4100111113113200122120
5121342240233302440
62215351503023120
7144044261440134
oct20252727403230
93868217827453
101122452244120
113a3036036349
12161656b9aaa0
1381b0153151c
143c48132c3c4
151e2e6b62a80
hex105575e0698

1122452244120 has 128 divisors (see below), whose sum is σ = 3388176138240. Its totient is φ = 297472949760.

The previous prime is 1122452244103. The next prime is 1122452244167. The reversal of 1122452244120 is 214422542211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24891514 + ... + 24936566.

It is an arithmetic number, because the mean of its divisors is an integer number (26470126080).

Almost surely, 21122452244120 is an apocalyptic number.

1122452244120 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 1122452244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694088069120).

1122452244120 is an abundant number, since it is smaller than the sum of its proper divisors (2265723894120).

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

1122452244120 is a wasteful number, since it uses less digits than its factorization.

1122452244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46345 (or 46341 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1122452244120 its reverse (214422542211), we get a palindrome (1336874786331).

The spelling of 1122452244120 in words is "one trillion, one hundred twenty-two billion, four hundred fifty-two million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1087 1146 1528 1910 2174 2292 2865 3261 3820 4348 4584 5435 5730 6522 7640 8696 10870 11460 13044 16305 21740 22920 26088 32610 43480 45053 65220 90106 130440 135159 180212 207617 225265 270318 360424 415234 450530 540636 622851 675795 830468 901060 1038085 1081272 1245702 1351590 1660936 1802120 2076170 2491404 2703180 3114255 4152340 4982808 5406360 6228510 8304680 8605123 12457020 17210246 24914040 25815369 34420492 43025615 48972611 51630738 68840984 86051230 97945222 103261476 129076845 146917833 172102460 195890444 206522952 244863055 258153690 293835666 344204920 391780888 489726110 516307380 587671332 734589165 979452220 1032614760 1175342664 1469178330 1958904440 2938356660 5876713320 9353768701 18707537402 28061306103 37415074804 46768843505 56122612206 74830149608 93537687010 112245224412 140306530515 187075374020 224490448824 280613061030 374150748040 561226122060 1122452244120