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122121011011220 = 22513469696196197
BaseRepresentation
bin11011110001000110000011…
…011110110001111010010100
3121000101122200020012012001222
4123301012003132301322110
5112001312312304324340
61111421341251505512
734502644332256214
oct3361060336617224
9530348606165058
10122121011011220
1135a03259033881
1211843a535b8298
13531ac6746c4a0
14222298d23c244
15e1b9ab2428b5
hex6f11837b1e94

122121011011220 has 24 divisors (see below), whose sum is σ = 276181363364424. Its totient is φ = 45090834834816.

The previous prime is 122121011011183. The next prime is 122121011011267. The reversal of 122121011011220 is 22110110121221.

It can be written as a sum of positive squares in 4 ways, for example, as 15041272942864 + 107079738068356 = 3878308^2 + 10347934^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234848097839 + ... + 234848098358.

It is an arithmetic number, because the mean of its divisors is an integer number (11507556806851).

Almost surely, 2122121011011220 is an apocalyptic number.

122121011011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121011011220 is an abundant number, since it is smaller than the sum of its proper divisors (154060352353204).

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

122121011011220 is a wasteful number, since it uses less digits than its factorization.

122121011011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469696196219 (or 469696196217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122121011011220 its reverse (22110110121221), we get a palindrome (144231121132441).

The spelling of 122121011011220 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 469696196197 939392392394 1878784784788 2348480980985 4696961961970 6106050550561 9393923923940 12212101101122 24424202202244 30530252752805 61060505505610 122121011011220