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1120001211120 = 2435111732452271
BaseRepresentation
bin10000010011000101010…
…001100011101011110000
310222001220210212120022210
4100103011101203223300
5121322230302223440
62214304344532120
7143626450134261
oct20230521435360
93861823776283
101120001211120
113a1a98537a40
12161092181040
13818007b823c
143c2cb9c6968
151e2018aaa80
hex104c5463af0

1120001211120 has 160 divisors (see below), whose sum is σ = 3809535888384. Its totient is φ = 269945881600.

The previous prime is 1120001211101. The next prime is 1120001211139. The reversal of 1120001211120 is 211121000211.

It is an interprime number because it is at equal distance from previous prime (1120001211101) and next prime (1120001211139).

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 = 1120001211096 and 1120001211105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769416 + ... + 1682855.

Almost surely, 21120001211120 is an apocalyptic number.

1120001211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120001211120 is an abundant number, since it is smaller than the sum of its proper divisors (2689534677264).

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

1120001211120 is a wasteful number, since it uses less digits than its factorization.

1120001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452471 (or 2452465 counting only the distinct ones).

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

Adding to 1120001211120 its reverse (211121000211), we get a palindrome (1331122211331).

The spelling of 1120001211120 in words is "one trillion, one hundred twenty billion, one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 173 176 220 240 264 330 346 440 519 528 660 692 865 880 1038 1320 1384 1730 1903 2076 2595 2640 2768 3460 3806 4152 5190 5709 6920 7612 8304 9515 10380 11418 13840 15224 19030 20760 22836 28545 30448 38060 41520 45672 57090 76120 91344 114180 152240 228360 456720 2452271 4904542 7356813 9809084 12261355 14713626 19618168 24522710 26974981 29427252 36784065 39236336 49045420 53949962 58854504 73568130 80924943 98090840 107899924 117709008 134874905 147136260 161849886 196181680 215799848 269749810 294272520 323699772 404624715 424242883 431599696 539499620 588545040 647399544 809249430 848485766 1078999240 1272728649 1294799088 1618498860 1696971532 2121214415 2157998480 2545457298 3236997720 3393943064 4242428830 4666671713 5090914596 6363643245 6473995440 6787886128 8484857660 9333343426 10181829192 12727286490 14000015139 16969715320 18666686852 20363658384 23333358565 25454572980 28000030278 33939430640 37333373704 46666717130 50909145960 56000060556 70000075695 74666747408 93333434260 101818291920 112000121112 140000151390 186666868520 224000242224 280000302780 373333737040 560000605560 1120001211120