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1122111213120 = 26335129873983
BaseRepresentation
bin10000010101000011000…
…010100100111001000000
310222021100212012202221000
4100111003002210321000
5121341040432304440
62215254001332000
7144032650636512
oct20250302447100
93867325182830
101122111213120
113a2980587747
12161580937000
1381a78998831
143c44bd17bb2
151e2c6c4b730
hex105430a4e40

1122111213120 has 112 divisors (see below), whose sum is σ = 3958559032320. Its totient is φ = 299229654528.

The previous prime is 1122111213109. The next prime is 1122111213149. The reversal of 1122111213120 is 213121112211.

It is a happy number.

1122111213120 is a `hidden beast` number, since 11 + 221 + 1 + 121 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122111213093 and 1122111213102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64928352 + ... + 64945631.

Almost surely, 21122111213120 is an apocalyptic number.

1122111213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122111213120 is an abundant number, since it is smaller than the sum of its proper divisors (2836447819200).

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

1122111213120 is a wasteful number, since it uses less digits than its factorization.

1122111213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129874009 (or 129873993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1122111213120 its reverse (213121112211), we get a palindrome (1335232325331).

The spelling of 1122111213120 in words is "one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 129873983 259747966 389621949 519495932 649369915 779243898 1038991864 1168865847 1298739830 1558487796 1948109745 2077983728 2337731694 2597479660 3116975592 3506597541 3896219490 4155967456 4675463388 5194959320 5844329235 6233951184 7013195082 7792438980 8311934912 9350926776 10389918640 11688658470 12467902368 14026390164 15584877960 17532987705 18701853552 20779837280 23377316940 24935804736 28052780328 31169755920 35065975410 37403707104 41559674560 46754633880 56105560656 62339511840 70131950820 74807414208 93509267760 112211121312 124679023680 140263901640 187018535520 224422242624 280527803280 374037071040 561055606560 1122111213120