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1120101120012 = 2237151123771389
BaseRepresentation
bin10000010011001011001…
…110101011100000001100
310222002011202212110120010
4100103023032223200030
5121322431341320022
62214322314153220
7143632102266660
oct20231316534014
93862152773503
101120101120012
113a2039976a76
121610bb722810
13818183c9424
143c2dad928a0
151e20a54350c
hex104cb3ab80c

1120101120012 has 96 divisors (see below), whose sum is σ = 3009190159360. Its totient is φ = 317648044800.

The previous prime is 1120101120001. The next prime is 1120101120049. The reversal of 1120101120012 is 2100211010211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120101120012.

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, 15654414 + ... + 15725802.

Almost surely, 21120101120012 is an apocalyptic number.

1120101120012 is a gapful number since it is divisible by the number (12) 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 1120101120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504595079680).

1120101120012 is an abundant number, since it is smaller than the sum of its proper divisors (1889089039348).

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

1120101120012 is a wasteful number, since it uses less digits than its factorization.

1120101120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72791 (or 72789 counting only the distinct ones).

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

Adding to 1120101120012 its reverse (2100211010211), we get a palindrome (3220312130223).

The spelling of 1120101120012 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1237 1812 2114 2474 3171 3711 4228 4948 6342 7422 8659 12684 14844 17318 25977 34636 51954 71389 103908 142778 186787 214167 285556 373574 428334 499723 560361 747148 856668 999446 1120722 1307509 1499169 1998892 2241444 2615018 2998338 3922527 5230036 5996676 7845054 10779739 15690108 21559478 32339217 43118956 64678434 75458173 88308193 129356868 150916346 176616386 226374519 264924579 301832692 353232772 452749038 529849158 618157351 905498076 1059698316 1236314702 1854472053 2472629404 3708944106 7417888212 13334537143 26669074286 40003611429 53338148572 80007222858 93341760001 160014445716 186683520002 280025280003 373367040004 560050560006 1120101120012