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1201120120122 = 2313113532325601
BaseRepresentation
bin10001011110101000010…
…101101000110100111010
311020211022010102002220220
4101132220111220310322
5124134343222320442
62315441552400510
7152530606365246
oct21365025506472
94224263362826
101201120120122
11423434aa39aa
12174950846136
138935a691690
14421c51c3426
152139d1e7eec
hex117a8568d3a

1201120120122 has 64 divisors (see below), whose sum is σ = 2610514279296. Its totient is φ = 366221721600.

The previous prime is 1201120120097. The next prime is 1201120120127. The reversal of 1201120120122 is 2210210211021.

It is not an unprimeable number, because it can be changed into a prime (1201120120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46904122 + ... + 46929722.

It is an arithmetic number, because the mean of its divisors is an integer number (40789285614).

Almost surely, 21201120120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201120120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305257139648).

1201120120122 is an abundant number, since it is smaller than the sum of its proper divisors (1409394159174).

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

1201120120122 is a wasteful number, since it uses less digits than its factorization.

1201120120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31055.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201120120122 its reverse (2210210211021), we get a palindrome (3411330331143).

The spelling of 1201120120122 in words is "one trillion, two hundred one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 5323 8814 10646 15969 25601 31938 51202 69199 76803 138398 153606 207597 332813 415194 601499 665626 998439 1202998 1804497 1996878 2892913 3608994 5785826 7819487 8678739 15638974 17357478 23458461 37607869 46916922 75215738 112823607 136274123 225647214 272548246 408822369 817644738 1771563599 3543127198 5314690797 10629381594 15398975899 30797951798 46196927697 92393855394 200186686687 400373373374 600560060061 1201120120122