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122112000002220 = 2235172431583103457
BaseRepresentation
bin11011110000111101101010…
…011000100000100010101100
3121000100210102020101111112220
4123300331222120200202230
5112001140334000032340
61111413251154355340
734502205124044024
oct3360755230404254
9530323366344486
10122112000002220
11359aa4546033a8
121184215988bb50
13531a15c6362b7
14222237659ca84
15e1b6300dded0
hex6f0f6a6208ac

122112000002220 has 288 divisors, whose sum is σ = 371894357818368. Its totient is φ = 29915780579328.

The previous prime is 122112000002219. The next prime is 122112000002221. The reversal of 122112000002220 is 22200000211221.

It is an interprime number because it is at equal distance from previous prime (122112000002219) and next prime (122112000002221).

It is a super-2 number, since 2×1221120000022202 (a number of 29 digits) contains 22 as substring.

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 122112000002220.

It is not an unprimeable number, because it can be changed into a prime (122112000002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180264732 + ... + 1180368188.

It is an arithmetic number, because the mean of its divisors is an integer number (1291299853536).

Almost surely, 2122112000002220 is an apocalyptic number.

122112000002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112000002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185947178909184).

122112000002220 is an abundant number, since it is smaller than the sum of its proper divisors (249782357816148).

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

122112000002220 is a wasteful number, since it uses less digits than its factorization.

122112000002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105129 (or 105110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122112000002220 its reverse (22200000211221), we get a palindrome (144312000213441).

The spelling of 122112000002220 in words is "one hundred twenty-two trillion, one hundred twelve billion, two thousand, two hundred twenty".