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1000001121012 = 223419473456241
BaseRepresentation
bin11101000110101001011…
…01100010101011110100
310112121011210112101020000
432203110231202223310
5112341000241333022
62043221050311300
7132150650165205
oct16432455425364
93477153471200
101000001121012
11356109621153
12141982428530
13733b859bb6a
14365866595ac
151b02b8d86ac
hexe8d4b62af4

1000001121012 has 120 divisors (see below), whose sum is σ = 2810339495040. Its totient is φ = 309070805760.

The previous prime is 1000001120977. The next prime is 1000001121019. The reversal of 1000001121012 is 2101211000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000001120985 and 1000001121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001121019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1438789 + ... + 2017452.

It is an arithmetic number, because the mean of its divisors is an integer number (23419495792).

Almost surely, 21000001121012 is an apocalyptic number.

1000001121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000001121012 is an abundant number, since it is smaller than the sum of its proper divisors (1810338374028).

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

1000001121012 is a wasteful number, since it uses less digits than its factorization.

1000001121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456323 (or 3456312 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000001121012 its reverse (2101211000001), we get a palindrome (3101212121013).

The spelling of 1000001121012 in words is "one trillion, one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 81 94 108 114 141 162 171 188 228 282 324 342 423 513 564 684 846 893 1026 1269 1539 1692 1786 2052 2538 2679 3078 3572 3807 5076 5358 6156 7614 8037 10716 15228 16074 24111 32148 48222 72333 96444 144666 289332 3456241 6912482 10368723 13824964 20737446 31106169 41474892 62212338 65668579 93318507 124424676 131337158 162443327 186637014 197005737 262674316 279955521 324886654 373274028 394011474 487329981 559911042 591017211 649773308 788022948 974659962 1119822084 1182034422 1461989943 1773051633 1949319924 2364068844 2923979886 3086423213 3546103266 4385969829 5319154899 5847959772 6172846426 7092206532 8771939658 9259269639 10638309798 12345692852 13157909487 17543879316 18518539278 21276619596 26315818974 27777808917 37037078556 52631637948 55555617834 83333426751 111111235668 166666853502 250000280253 333333707004 500000560506 1000001121012