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1125120232240 = 2453113913992333
BaseRepresentation
bin10000010111110110011…
…001000100101100110000
310222120010120012210011121
4100113312121010230300
5121413221234412430
62220512331152024
7144200346115144
oct20276631045460
93876116183147
101125120232240
113a4185048304
121620805a5614
13821381ba314
143c6557cb224
151e400ec2a7a
hex105f6644b30

1125120232240 has 160 divisors (see below), whose sum is σ = 2722825728000. Its totient is φ = 431902817280.

The previous prime is 1125120232163. The next prime is 1125120232277. The reversal of 1125120232240 is 422320215211.

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, 482262114 + ... + 482264446.

It is an arithmetic number, because the mean of its divisors is an integer number (17017660800).

Almost surely, 21125120232240 is an apocalyptic number.

1125120232240 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 1125120232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361412864000).

1125120232240 is an abundant number, since it is smaller than the sum of its proper divisors (1597705495760).

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

1125120232240 is a wasteful number, since it uses less digits than its factorization.

1125120232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1125120232240 its reverse (422320215211), we get a palindrome (1547440447451).

The spelling of 1125120232240 in words is "one trillion, one hundred twenty-five billion, one hundred twenty million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 139 155 248 278 310 496 556 620 695 1112 1240 1390 1399 2224 2333 2480 2780 2798 4309 4666 5560 5596 6995 8618 9332 11120 11192 11665 13990 17236 18664 21545 22384 23330 27980 34472 37328 43090 43369 46660 55960 68944 72323 86180 86738 93320 111920 144646 172360 173476 186640 194461 216845 289292 324287 344720 346952 361615 388922 433690 578584 648574 693904 723230 777844 867380 972305 1157168 1297148 1446460 1555688 1621435 1734760 1944610 2594296 2892920 3111376 3242870 3263867 3469520 3889220 5188592 5785840 6028291 6485740 6527734 7778440 10052897 12056582 12971480 13055468 15556880 16319335 20105794 24113164 25942960 26110936 30141455 32638670 40211588 48226328 50264485 52221872 60282910 65277340 80423176 96452656 100528970 101179877 120565820 130554680 160846352 201057940 202359754 241131640 261109360 402115880 404719508 453677513 482263280 505899385 804231760 809439016 907355026 1011798770 1618878032 1814710052 2023597540 2268387565 3629420104 4047195080 4536775130 7258840208 8094390160 9073550260 14064002903 18147100520 28128005806 36294201040 56256011612 70320014515 112512023224 140640029030 225024046448 281280058060 562560116120 1125120232240