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120112121002121 = 1923417391832981
BaseRepresentation
bin11011010011110111001000…
…010011100011100010001001
3120202021121101020020002020122
4123103313020103203202021
5111220404110434031441
61103242425135033025
734204546221033233
oct3323671023434211
9522247336202218
10120112121002121
11352a929aa97636
121157a64a36b775
1352036a8189001
142193659c09253
15dd45d2a6334b
hex6d3dc84e3889

120112121002121 has 32 divisors (see below), whose sum is σ = 137000115866880. Its totient is φ = 104733677030400.

The previous prime is 120112121002073. The next prime is 120112121002123. The reversal of 120112121002121 is 121200121211021.

It is a cyclic number.

It is not a de Polignac number, because 120112121002121 - 210 = 120112121001097 is a prime.

It is a super-2 number, since 2×1201121210021212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120112121002121.

It is not an unprimeable number, because it can be changed into a prime (120112121002123) by changing a digit.

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, 44608550 + ... + 47224431.

It is an arithmetic number, because the mean of its divisors is an integer number (4281253620840).

Almost surely, 2120112121002121 is an apocalyptic number.

It is an amenable number.

120112121002121 is a deficient number, since it is larger than the sum of its proper divisors (16887994864759).

120112121002121 is a wasteful number, since it uses less digits than its factorization.

120112121002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91833137.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120112121002121 its reverse (121200121211021), we get a palindrome (241312242213142).

The spelling of 120112121002121 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred twenty-one".

Divisors: 1 19 23 41 73 437 779 943 1387 1679 2993 17917 31901 56867 68839 1307941 91832981 1744826639 2112158563 3765152221 6703807613 40131012697 71537892199 86598501083 127372344647 154187575099 274856112133 1645371520577 2929563926881 5222266130527 6321690579059 120112121002121