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122022121012 = 221131101885733
BaseRepresentation
bin111000110100100010…
…1011100111000110100
3102122221221011000001021
41301221011130320310
53444400130333022
6132020045310524
711546551625641
oct1615105347064
9378857130037
10122022121012
1147827340610
121b794b65444
13b67810838c
145c97b1cdc8
1532927877c7
hex1c6915ce34

122022121012 has 48 divisors (see below), whose sum is σ = 242847005184. Its totient is φ = 53143920000.

The previous prime is 122022121009. The next prime is 122022121019. The reversal of 122022121012 is 210121220221.

It is a happy number.

122022121012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022121019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305103 + ... + 580630.

It is an arithmetic number, because the mean of its divisors is an integer number (5059312608).

Almost surely, 2122022121012 is an apocalyptic number.

It is an amenable number.

122022121012 is a deficient number, since it is larger than the sum of its proper divisors (120824884172).

122022121012 is a wasteful number, since it uses less digits than its factorization.

122022121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885880 (or 885878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122022121012 its reverse (210121220221), we get a palindrome (332143341233).

It can be divided in two parts, 12 and 2022121012, that added together give a square (2022121024 = 449682).

The spelling of 122022121012 in words is "one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 11 22 31 44 62 101 124 202 341 404 682 1111 1364 2222 3131 4444 6262 12524 34441 68882 137764 885733 1771466 3542932 9743063 19486126 27457723 38972252 54915446 89459033 109830892 178918066 302034953 357836132 604069906 984049363 1208139812 1968098726 2773230023 3936197452 5546460046 11092920092 30505530253 61011060506 122022121012