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1020012012012 = 223754734916359
BaseRepresentation
bin11101101011111010111…
…01000010000111101100
310121111211101112222010010
432311331131002013230
5113202441033341022
62100330445213220
7133456564022250
oct16657535020754
93544741488103
101020012012012
113636482097a4
12145827b61210
13752572baa76
1437524178260
151b7ed5a650c
hexed7d7421ec

1020012012012 has 96 divisors (see below), whose sum is σ = 2726213898240. Its totient is φ = 290770159680.

The previous prime is 1020012012007. The next prime is 1020012012023. The reversal of 1020012012012 is 2102102100201.

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

1020012012012 is a modest number, since divided by 12012012 gives 1020 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160401289 + ... + 160407647.

It is an arithmetic number, because the mean of its divisors is an integer number (28398061440).

Almost surely, 21020012012012 is an apocalyptic number.

1020012012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020012012012 is an abundant number, since it is smaller than the sum of its proper divisors (1706201886228).

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

1020012012012 is a wasteful number, since it uses less digits than its factorization.

1020012012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020012012012 its reverse (2102102100201), we get a palindrome (3122114112213).

The spelling of 1020012012012 in words is "one trillion, twenty billion, twelve million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 547 1094 1641 2188 3282 3491 3829 6359 6564 6982 7658 10473 11487 12718 13964 15316 19077 20946 22974 24437 25436 38154 41892 44513 45948 48874 73311 76308 89026 97748 133539 146622 178052 267078 293244 534156 1909577 3478373 3819154 5728731 6956746 7638308 10435119 11457462 13367039 13913492 20870238 22199269 22914924 24348611 26734078 40101117 41740476 44398538 48697222 53468156 66597807 73045833 80202234 88797076 97394444 133195614 146091666 155394883 160404468 266391228 292183332 310789766 466184649 621579532 932369298 1864738596 12143000143 24286000286 36429000429 48572000572 72858000858 85001001001 145716001716 170002002002 255003003003 340004004004 510006006006 1020012012012