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12212000002120 = 235305300000053
BaseRepresentation
bin1011000110110101001111…
…1011000001000001001000
31121020110022021111001112211
42301231103323001001020
53100040134000031440
641550040525514504
72400200513212312
oct261552373010110
947213267431484
1012212000002120
1139890976a9226
121452926112a34
136a7781b74519
143030c76bc7b2
151629deb15eea
hexb1b53ec1048

12212000002120 has 16 divisors (see below), whose sum is σ = 27477000004860. Its totient is φ = 4884800000832.

The previous prime is 12212000002091. The next prime is 12212000002129. The reversal of 12212000002120 is 2120000021221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10081094905476 + 2130905096644 = 3175074^2 + 1459762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12212000002120.

It is not an unprimeable number, because it can be changed into a prime (12212000002129) 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, 152649999987 + ... + 152650000066.

Almost surely, 212212000002120 is an apocalyptic number.

12212000002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000002120 is an abundant number, since it is smaller than the sum of its proper divisors (15265000002740).

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

12212000002120 is a wasteful number, since it uses less digits than its factorization.

12212000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305300000064 (or 305300000060 counting only the distinct ones).

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

Adding to 12212000002120 its reverse (2120000021221), we get a palindrome (14332000023341).

The spelling of 12212000002120 in words is "twelve trillion, two hundred twelve billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305300000053 610600000106 1221200000212 1526500000265 2442400000424 3053000000530 6106000001060 12212000002120