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122111121220 = 22511250459141
BaseRepresentation
bin111000110111001100…
…0111101011101000100
3102200012010121200101021
41301232120331131010
54000040421334340
6132032545040524
711552012255524
oct1615630753504
9380163550337
10122111121220
11478725a9800
121b7ba926144
13b69069a21a
145ca5889684
15329a4b7e4a
hex1c6e63d744

122111121220 has 36 divisors (see below), whose sum is σ = 281864767212. Its totient is φ = 44404043200.

The previous prime is 122111121217. The next prime is 122111121311. The reversal of 122111121220 is 22121111221.

It can be written as a sum of positive squares in 2 ways, for example, as 61441519876 + 60669601344 = 247874^2 + 246312^2 .

It is a super-2 number, since 2×1221111212202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111121194 and 122111121203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25227151 + ... + 25231990.

It is an arithmetic number, because the mean of its divisors is an integer number (7829576867).

Almost surely, 2122111121220 is an apocalyptic number.

122111121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111121220 is an abundant number, since it is smaller than the sum of its proper divisors (159753645992).

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

122111121220 is a wasteful number, since it uses less digits than its factorization.

122111121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50459172 (or 50459159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111121220 its reverse (22121111221), we get a palindrome (144232232441).

Subtracting from 122111121220 its reverse (22121111221), we obtain a palindrome (99990009999).

The spelling of 122111121220 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 50459141 100918282 201836564 252295705 504591410 555050551 1009182820 1110101102 2220202204 2775252755 5550505510 6105556061 11101011020 12211112122 24422224244 30527780305 61055560610 122111121220