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1200011121012 = 22311292029154501
BaseRepresentation
bin10001011101100110001…
…111001001000101110100
311020201102211122010010210
4101131212033021011310
5124130110321333022
62315135534545420
7152461252141554
oct21354617110564
94221384563123
101200011121012
11422a15aa2510
121746a1368270
13892119ac8a2
144211bbc1164
1521335b85a0c
hex117663c9174

1200011121012 has 96 divisors (see below), whose sum is σ = 3161481724800. Its totient is φ = 350925120000.

The previous prime is 1200011120993. The next prime is 1200011121091. The reversal of 1200011121012 is 2101211100021.

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

It is a congruent number.

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, 7689762 + ... + 7844262.

It is an arithmetic number, because the mean of its divisors is an integer number (32932101300).

Almost surely, 21200011121012 is an apocalyptic number.

1200011121012 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 1200011121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580740862400).

1200011121012 is an abundant number, since it is smaller than the sum of its proper divisors (1961470603788).

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

1200011121012 is a wasteful number, since it uses less digits than its factorization.

1200011121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156577 (or 156575 counting only the distinct ones).

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

Adding to 1200011121012 its reverse (2101211100021), we get a palindrome (3301222221033).

The spelling of 1200011121012 in words is "one trillion, two hundred billion, eleven million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 2029 3828 4058 6087 8116 12174 22319 24348 44638 58841 66957 89276 117682 133914 154501 176523 235364 267828 309002 353046 463503 618004 647251 706092 927006 1294502 1699511 1854012 1941753 2589004 3399022 3883506 4480529 5098533 6798044 7767012 8961058 10197066 13441587 17922116 20394132 26883174 49285819 53766348 98571638 147857457 197143276 295714914 313482529 591429828 626965058 940447587 1253930116 1880895174 3448307819 3761790348 6896615638 9090993341 10344923457 13793231276 18181986682 20689846914 27272980023 36363973364 41379693828 54545960046 100000926751 109091920092 200001853502 300002780253 400003707004 600005560506 1200011121012