Search a number
-
+
122100012120 = 23351017500101
BaseRepresentation
bin111000110110110111…
…0100101010001011000
3102200011100201021120010
41301231232211101120
54000030100341440
6132031511001520
711551515656502
oct1615556452130
9380140637503
10122100012120
1147867301329
121b7b70692a0
13b68b2aa8a8
145ca41d6d72
153299521580
hex1c6dba5458

122100012120 has 32 divisors (see below), whose sum is σ = 366300036720. Its totient is φ = 32560003200.

The previous prime is 122100012103. The next prime is 122100012131. The reversal of 122100012120 is 21210001221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122100012096 and 122100012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508749931 + ... + 508750170.

Almost surely, 2122100012120 is an apocalyptic number.

122100012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100012120 is an abundant number, since it is smaller than the sum of its proper divisors (244200024600).

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

122100012120 is a wasteful number, since it uses less digits than its factorization.

122100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017500115 (or 1017500111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100012120 its reverse (21210001221), we get a palindrome (143310013341).

The spelling of 122100012120 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1017500101 2035000202 3052500303 4070000404 5087500505 6105000606 8140000808 10175001010 12210001212 15262501515 20350002020 24420002424 30525003030 40700004040 61050006060 122100012120