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122112120020 = 22511555055091
BaseRepresentation
bin111000110111001110…
…0110001010011010100
3102200012012111102110212
41301232130301103110
54000041200320040
6132033022304552
711552023615502
oct1615634612324
9380165442425
10122112120020
1147873121160
121b7bb128158
13b690959a27
145ca5a69672
15329a613d65
hex1c6e7314d4

122112120020 has 24 divisors (see below), whose sum is σ = 279747766368. Its totient is φ = 44404407200.

The previous prime is 122112120017. The next prime is 122112120023. The reversal of 122112120020 is 20021211221.

It is an interprime number because it is at equal distance from previous prime (122112120017) and next prime (122112120023).

It is a super-2 number, since 2×1221121200202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112119977 and 122112120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112120023) 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, 277527326 + ... + 277527765.

It is an arithmetic number, because the mean of its divisors is an integer number (11656156932).

Almost surely, 2122112120020 is an apocalyptic number.

122112120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112120020 is an abundant number, since it is smaller than the sum of its proper divisors (157635646348).

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

122112120020 is a wasteful number, since it uses less digits than its factorization.

122112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555055111 (or 555055109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122112120020 its reverse (20021211221), we get a palindrome (142133331241).

The spelling of 122112120020 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 555055091 1110110182 2220220364 2775275455 5550550910 6105606001 11101101820 12211212002 24422424004 30528030005 61056060010 122112120020