Search a number
-
+
122121112000 = 265315265139
BaseRepresentation
bin111000110111011111…
…1000100100111000000
3102200012211102021011011
41301232333010213000
54000101001041000
6132033543130304
711552163216256
oct1615677044700
9380184367134
10122121112000
1147878202a48
121b802143994
13b692787824
145ca6d2a5d6
15329b2dd2ba
hex1c6efc49c0

122121112000 has 56 divisors (see below), whose sum is σ = 302432953680. Its totient is φ = 48848441600.

The previous prime is 122121111997. The next prime is 122121112037. The reversal of 122121112000 is 211121221.

It is a super-2 number, since 2×1221211120002 (a number of 23 digits) contains 22 as substring.

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, 7624570 + ... + 7640569.

Almost surely, 2122121112000 is an apocalyptic number.

122121112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121112000 is an abundant number, since it is smaller than the sum of its proper divisors (180311841680).

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

122121112000 is an equidigital number, since it uses as much as digits as its factorization.

122121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265166 (or 15265146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122121112000 its reverse (211121221), we get a palindrome (122332233221).

The spelling of 122121112000 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 15265139 30530278 61060556 76325695 122121112 152651390 244242224 305302780 381628475 488484448 610605560 763256950 976968896 1221211120 1526513900 1908142375 2442422240 3053027800 3816284750 4884844480 6106055600 7632569500 12212111200 15265139000 24424222400 30530278000 61060556000 122121112000