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122012002120 = 2353050300053
BaseRepresentation
bin111000110100001111…
…0110110011101001000
3102122221020002220112111
41301220132312131020
53444340033031440
6132015044352104
711546366622541
oct1615036663510
9378836086474
10122012002120
114782165a098
121b7916a5634
13b675ca4678
145c966474c8
1532919394ea
hex1c687b6748

122012002120 has 16 divisors (see below), whose sum is σ = 274527004860. Its totient is φ = 48804800832.

The previous prime is 122012002087. The next prime is 122012002127. The reversal of 122012002120 is 21200210221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115829954244 + 6182047876 = 340338^2 + 78626^2 .

It is a super-2 number, since 2×1220120021202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122012002120.

It is not an unprimeable number, because it can be changed into a prime (122012002127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1525149987 + ... + 1525150066.

Almost surely, 2122012002120 is an apocalyptic number.

122012002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012002120 is an abundant number, since it is smaller than the sum of its proper divisors (152515002740).

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

122012002120 is a wasteful number, since it uses less digits than its factorization.

122012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050300064 (or 3050300060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122012002120 its reverse (21200210221), we get a palindrome (143212212341).

The spelling of 122012002120 in words is "one hundred twenty-two billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3050300053 6100600106 12201200212 15251500265 24402400424 30503000530 61006001060 122012002120