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1001011200012 = 2232157177107431
BaseRepresentation
bin11101001000100001110…
…10101100000000001100
310112200210012011201010100
432210100322230000030
5112400032331400022
62043505212011100
7132214663545015
oct16442072540014
93480705151110
101001011200012
113565877a948a
12142004760a90
1373519927845
143664086c00c
151b08a40b1ac
hexe910eac00c

1001011200012 has 36 divisors (see below), whose sum is σ = 2546450657296. Its totient is φ = 331545108960.

The previous prime is 1001011199999. The next prime is 1001011200029. The reversal of 1001011200012 is 2100021101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1001011199967 and 1001011200003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88548064 + ... + 88559367.

Almost surely, 21001011200012 is an apocalyptic number.

1001011200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001011200012 is an abundant number, since it is smaller than the sum of its proper divisors (1545439457284).

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

1001011200012 is a wasteful number, since it uses less digits than its factorization.

1001011200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177107598 (or 177107593 counting only the distinct ones).

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

Adding to 1001011200012 its reverse (2100021101001), we get a palindrome (3101032301013).

The spelling of 1001011200012 in words is "one trillion, one billion, eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 177107431 354214862 531322293 708429724 1062644586 1593966879 2125289172 3187933758 6375867516 27805866667 55611733334 83417600001 111223466668 166835200002 250252800003 333670400004 500505600006 1001011200012