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1021212211122 = 234131285716843
BaseRepresentation
bin11101101110001001111…
…11011011011110110010
310121121221000221101210000
432313010333123132302
5113212420311223442
62101045521450430
7133531406400105
oct16670477333662
93547830841700
101021212211122
11364103741094
12145b01aa0a16
13753b8b51a5c
14375d971a73c
151b86db30d4c
hexedc4fdb7b2

1021212211122 has 80 divisors (see below), whose sum is σ = 2306683523232. Its totient is φ = 337667279040.

The previous prime is 1021212211111. The next prime is 1021212211139. The reversal of 1021212211122 is 2211122121201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021212211095 and 1021212211104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60622833 + ... + 60639675.

Almost surely, 21021212211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021212211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153341761616).

1021212211122 is an abundant number, since it is smaller than the sum of its proper divisors (1285471312110).

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

1021212211122 is a wasteful number, since it uses less digits than its factorization.

1021212211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19836 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1021212211122 its reverse (2211122121201), we get a palindrome (3232334332323).

The spelling of 1021212211122 in words is "one trillion, twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 2857 3537 5714 7074 8571 10611 16843 17142 21222 25713 33686 50529 51426 77139 101058 151587 154278 231417 303174 374267 454761 462834 748534 909522 1122801 1364283 2206433 2245602 2728566 3368403 4412866 6619299 6736806 10105209 13238598 19857897 20210418 30315627 39715794 48120451 59573691 60631254 96240902 119147382 144361353 178721073 288722706 357442146 433084059 866168118 1299252177 2598504354 3897756531 6303779081 7795513062 12607558162 18911337243 37822674486 56734011729 113468023458 170202035187 340404070374 510606105561 1021212211122