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1110120102120 = 2335179487710597
BaseRepresentation
bin10000001001111000010…
…100000111100011101000
310221010102011211012222210
4100021320110013203220
5121142011221231440
62205552050245120
7143126545114311
oct20117024074350
93833364735883
101110120102120
11398887947557
1215b194b867a0
13808b7626c93
143ba31571608
151dd24184a80
hex102785078e8

1110120102120 has 128 divisors (see below), whose sum is σ = 3349968451200. Its totient is φ = 294290082816.

The previous prime is 1110120102101. The next prime is 1110120102233. The reversal of 1110120102120 is 212010210111.

It is a super-2 number, since 2×11101201021202 (a number of 25 digits) contains 22 as substring.

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 = 1110120102096 and 1110120102105.

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, 104752662 + ... + 104763258.

It is an arithmetic number, because the mean of its divisors is an integer number (26171628525).

Almost surely, 21110120102120 is an apocalyptic number.

1110120102120 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 1110120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674984225600).

1110120102120 is an abundant number, since it is smaller than the sum of its proper divisors (2239848349080).

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

1110120102120 is a wasteful number, since it uses less digits than its factorization.

1110120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15663 counting only the distinct ones).

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

Adding to 1110120102120 its reverse (212010210111), we get a palindrome (1322130312231).

The spelling of 1110120102120 in words is "one trillion, one hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 4877 5370 7160 9754 10597 10740 14631 19508 21194 21480 24385 29262 31791 39016 42388 48770 52985 58524 63582 73155 84776 97540 105970 117048 127164 146310 158955 195080 211940 254328 292620 317910 423880 585240 635820 872983 1271640 1745966 1896863 2618949 3491932 3793726 4364915 5237898 5690589 6983864 7587452 8729830 9484315 10475796 11381178 13094745 15174904 17459660 18968630 20951592 22762356 26189490 28452945 34919320 37937260 45524712 51681569 52378980 56905890 75874520 103363138 104757960 113811780 155044707 206726276 227623560 258407845 310089414 413452552 516815690 620178828 775223535 1033631380 1240357656 1550447070 2067262760 3100894140 6201788280 9251000851 18502001702 27753002553 37004003404 46255004255 55506005106 74008006808 92510008510 111012010212 138765012765 185020017020 222024020424 277530025530 370040034040 555060051060 1110120102120