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122121012120 = 23355319201417
BaseRepresentation
bin111000110111011111…
…0101100001110011000
3102200012211020012010220
41301232332230032120
54000100434341440
6132033541040040
711552162322132
oct1615676541630
9380184205126
10122121012120
11478781449a8
121b8020b6020
13b692751223
145ca6d02052
15329b2bd8d0
hex1c6efac398

122121012120 has 64 divisors (see below), whose sum is σ = 373275565920. Its totient is φ = 31951156224.

The previous prime is 122121012103. The next prime is 122121012149. The reversal of 122121012120 is 21210121221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122121012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9594349 + ... + 9607068.

Almost surely, 2122121012120 is an apocalyptic number.

122121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121012120 is an abundant number, since it is smaller than the sum of its proper divisors (251154553800).

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

122121012120 is a wasteful number, since it uses less digits than its factorization.

122121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201484 (or 19201480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122121012120 its reverse (21210121221), we get a palindrome (143331133341).

The spelling of 122121012120 in words is "one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 19201417 38402834 57604251 76805668 96007085 115208502 153611336 192014170 230417004 288021255 384028340 460834008 576042510 768056680 1017675101 1152085020 2035350202 2304170040 3053025303 4070700404 5088375505 6106050606 8141400808 10176751010 12212101212 15265126515 20353502020 24424202424 30530253030 40707004040 61060506060 122121012120