Search a number
-
+
122120123321120 = 2553067248859071
BaseRepresentation
bin11011110001000101001110…
…100100100000101100100000
3121000101120101100211212011212
4123301011032210200230200
5112001304003032233440
61111421113221325252
734502613333110351
oct3361051644405440
9530346340755155
10122120123321120
1135a02942a4a0a1
1211843846266828
13531ab55595b82
1422229073a7d28
15e1b958348465
hex6f114e920b20

122120123321120 has 48 divisors (see below), whose sum is σ = 288602861234688. Its totient is φ = 48832122151680.

The previous prime is 122120123321113. The next prime is 122120123321129. The reversal of 122120123321120 is 21123321021221.

It is not an unprimeable number, because it can be changed into a prime (122120123321129) 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 7 ways as a sum of consecutive naturals, for example, 123938816 + ... + 124920255.

It is an arithmetic number, because the mean of its divisors is an integer number (6012559609056).

Almost surely, 2122120123321120 is an apocalyptic number.

122120123321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120123321120 is an abundant number, since it is smaller than the sum of its proper divisors (166482737913568).

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

122120123321120 is a wasteful number, since it uses less digits than its factorization.

122120123321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248862153 (or 248862145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 122120123321120 its reverse (21123321021221), we get a palindrome (143243444342341).

The spelling of 122120123321120 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3067 6134 12268 15335 24536 30670 49072 61340 98144 122680 245360 490720 248859071 497718142 995436284 1244295355 1990872568 2488590710 3981745136 4977181420 7963490272 9954362840 19908725680 39817451360 763250770757 1526501541514 3053003083028 3816253853785 6106006166056 7632507707570 12212012332112 15265015415140 24424024664224 30530030830280 61060061660560 122120123321120