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122112121003 = 192495768239
BaseRepresentation
bin111000110111001110…
…0110001100010101011
3102200012012111110211021
41301232130301202223
54000041200333003
6132033022313311
711552023621405
oct1615634614253
9380165443737
10122112121003
1147873121974
121b7bb128837
13b69095a302
145ca5a69b75
15329a6142bd
hex1c6e7318ab

122112121003 has 12 divisors (see below), whose sum is σ = 128905223520. Its totient is φ = 115660134576.

The previous prime is 122112120983. The next prime is 122112121037. The reversal of 122112121003 is 300121211221.

It is not a de Polignac number, because 122112121003 - 25 = 122112120971 is a prime.

It is a super-3 number, since 3×1221121210033 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112121063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755358 + ... + 1823596.

It is an arithmetic number, because the mean of its divisors is an integer number (10742101960).

Almost surely, 2122112121003 is an apocalyptic number.

122112121003 is a deficient number, since it is larger than the sum of its proper divisors (6793102517).

122112121003 is an equidigital number, since it uses as much as digits as its factorization.

122112121003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73234 (or 73215 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122112121003 its reverse (300121211221), we get a palindrome (422233332224).

The spelling of 122112121003 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, three".

Divisors: 1 19 361 4957 68239 94183 1296541 1789477 24634279 338260723 6426953737 122112121003