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1202112211122 = 23331253437071
BaseRepresentation
bin10001011111100011011…
…110001010100010110010
311020220212021012112221000
4101133203132022202302
5124143411211223442
62320124232342430
7152564314125654
oct21374336124262
94226767175830
101202112211122
114238a4005619
12174b88b44a16
138948808c984
144227ac726d4
152140a365d4c
hex117e378a8b2

1202112211122 has 96 divisors (see below), whose sum is σ = 2812400974080. Its totient is φ = 380460693600.

The previous prime is 1202112211081. The next prime is 1202112211129. The reversal of 1202112211122 is 2211122112021.

1202112211122 is a `hidden beast` number, since 120 + 211 + 2 + 211 + 122 = 666.

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 = 1202112211095 and 1202112211104.

It is not an unprimeable number, because it can be changed into a prime (1202112211129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531847 + ... + 2968917.

It is an arithmetic number, because the mean of its divisors is an integer number (29295843480).

Almost surely, 21202112211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202112211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406200487040).

1202112211122 is an abundant number, since it is smaller than the sum of its proper divisors (1610288762958).

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

1202112211122 is a wasteful number, since it uses less digits than its factorization.

1202112211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437197 (or 437160 counting only the distinct ones).

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

Adding to 1202112211122 its reverse (2211122112021), we get a palindrome (3413234323143).

The spelling of 1202112211122 in words is "one trillion, two hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 93 106 159 186 279 318 477 558 837 954 961 1431 1643 1674 1922 2862 2883 3286 4929 5766 8649 9858 14787 17298 25947 29574 44361 50933 51894 88722 101866 152799 305598 437071 458397 874142 916794 1311213 1375191 2622426 2750382 3933639 7867278 11800917 13549201 23164763 23601834 27098402 40647603 46329526 69494289 81295206 121942809 138988578 208482867 243885618 365828427 416965734 420025231 625448601 718107653 731656854 840050462 1250897202 1260075693 1436215306 2154322959 2520151386 3780227079 4308645918 6462968877 7560454158 11340681237 12925937754 19388906631 22261337243 22681362474 38777813262 44522674486 66784011729 133568023458 200352035187 400704070374 601056105561 1202112211122