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1012121122012 = 2271121331741283
BaseRepresentation
bin11101011101001110001…
…11101011010011011100
310120202110110110012222221
432232213013223103130
5113040311001401022
62052543444115124
7133060206406120
oct16564707532334
93522413405887
101012121122012
11360268a95300
121441a5395aa4
137459a55aba0
1436db6193580
151b4da95ecc7
hexeba71eb4dc

1012121122012 has 144 divisors (see below), whose sum is σ = 2473445287936. Its totient is φ = 352257206400.

The previous prime is 1012121121997. The next prime is 1012121122021. The reversal of 1012121122012 is 2102211212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994723 + ... + 1736005.

Almost surely, 21012121122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012121122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236722643968).

1012121122012 is an abundant number, since it is smaller than the sum of its proper divisors (1461324165924).

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

1012121122012 is a wasteful number, since it uses less digits than its factorization.

1012121122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741360 (or 741347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012121122012 its reverse (2102211212101), we get a palindrome (3114332334113).

The spelling of 1012121122012 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 121 124 143 154 182 217 242 286 308 341 364 403 434 484 572 682 806 847 868 1001 1364 1573 1612 1694 2002 2387 2821 3146 3388 3751 4004 4433 4774 5642 6292 7502 8866 9548 11011 11284 15004 17732 22022 26257 31031 44044 48763 52514 62062 97526 105028 124124 195052 341341 682682 741283 1365364 1482566 2965132 5188981 8154113 9636679 10377962 16308226 19273358 20755924 22979773 32616452 38546716 45959546 57078791 67456753 89695243 91919092 106003469 114157582 134913506 160858411 179390486 212006938 228315164 252777503 269827012 298737049 321716822 358780972 424013876 505555006 597474098 627866701 643433644 742024283 1011110012 1166038159 1194948196 1255733402 1484048566 1769442521 2091159343 2332076318 2511466804 2780552533 2968097132 3286107539 3538885042 4182318686 4664152636 5561105066 6572215078 7077770084 8162267113 8364637372 11122210132 13144430156 16324534226 19463867731 23002752773 32649068452 36147182929 38927735462 46005505546 72294365858 77855470924 92011011092 144588731716 253030280503 506060561006 1012121122012