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122117482000 = 245361058741
BaseRepresentation
bin111000110111011000…
…1001110011000010000
3102200012120120211201201
41301232301032120100
54000044033411000
6132033333240544
711552120320213
oct1615661163020
9380176524651
10122117482000
1147876153748
121b800a93154
13b691ab64b7
145ca666377a
15329ad2296a
hex1c6ec4e610

122117482000 has 40 divisors (see below), whose sum is σ = 295280076312. Its totient is φ = 48846992000.

The previous prime is 122117481979. The next prime is 122117482031. The reversal of 122117482000 is 284711221.

122117482000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27371717136 + 94745764864 = 165444^2 + 307808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 122117482000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30527371 + ... + 30531370.

Almost surely, 2122117482000 is an apocalyptic number.

122117482000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122117482000 is an abundant number, since it is smaller than the sum of its proper divisors (173162594312).

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

122117482000 is an equidigital number, since it uses as much as digits as its factorization.

122117482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61058764 (or 61058748 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 122117482000 in words is "one hundred twenty-two billion, one hundred seventeen million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 61058741 122117482 244234964 305293705 488469928 610587410 976939856 1221174820 1526468525 2442349640 3052937050 4884699280 6105874100 7632342625 12211748200 15264685250 24423496400 30529370500 61058741000 122117482000