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1122111000120 = 2335118310241977
BaseRepresentation
bin10000010101000011000…
…001110000111000111000
310222021100211210221202010
4100111003001300320320
5121341040404000440
62215253553005520
7144032646061515
oct20250301607070
93867324727663
101122111000120
113a2980451710
121615808538a0
1381a789228b6
143c44bca030c
151e2c6c08580
hex10543070e38

1122111000120 has 128 divisors (see below), whose sum is σ = 3716608976640. Its totient is φ = 268749450240.

The previous prime is 1122111000103. The next prime is 1122111000121. The reversal of 1122111000120 is 210001112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1122111000096 and 1122111000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122111000121) 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, 5011429 + ... + 5230548.

It is an arithmetic number, because the mean of its divisors is an integer number (29036007630).

Almost surely, 21122111000120 is an apocalyptic number.

1122111000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122111000120 is an abundant number, since it is smaller than the sum of its proper divisors (2594497976520).

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

1122111000120 is a wasteful number, since it uses less digits than its factorization.

1122111000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242085 (or 10242081 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122111000120 its reverse (210001112211), we get a palindrome (1332112112331).

The spelling of 1122111000120 in words is "one trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 54780 109560 10241977 20483954 30725931 40967908 51209885 61451862 81935816 102419770 112661747 122903724 153629655 204839540 225323494 245807448 307259310 337985241 409679080 450646988 563308735 614518620 675970482 850084091 901293976 1126617470 1229037240 1351940964 1689926205 1700168182 2253234940 2550252273 2703881928 3379852410 3400336364 4250420455 4506469880 5100504546 6759704820 6800672728 8500840910 9350925001 10201009092 12751261365 13519409640 17001681820 18701850002 20402018184 25502522730 28052775003 34003363640 37403700004 46754625005 51005045460 56105550006 74807400008 93509250010 102010090920 112211100012 140263875015 187018500020 224422200024 280527750030 374037000040 561055500060 1122111000120