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211120122212120 = 2351117792957120823
BaseRepresentation
bin110000000000001100111011…
…111000111010111100011000
31000200111212221022102100220002
4300000030323320322330120
5210132443002241241440
62025003124544552132
762316632303460122
oct6000147370727430
91020455838370802
10211120122212120
11612a65a510a130
121b8185b1922648
1390a5707cba054
143a1c3a8836212
151961abb2e0115
hexc0033be3af18

211120122212120 has 256 divisors, whose sum is σ = 555824424038400. Its totient is φ = 71315678453760.

The previous prime is 211120122212099. The next prime is 211120122212141. The reversal of 211120122212120 is 21212221021112.

It is an interprime number because it is at equal distance from previous prime (211120122212099) and next prime (211120122212141).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211120122212092 and 211120122212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747290029 + ... + 1747410851.

It is an arithmetic number, because the mean of its divisors is an integer number (2171189156400).

Almost surely, 2211120122212120 is an apocalyptic number.

211120122212120 is a gapful number since it is divisible by the number (20) 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 211120122212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277912212019200).

211120122212120 is an abundant number, since it is smaller than the sum of its proper divisors (344704301826280).

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

211120122212120 is a wasteful number, since it uses less digits than its factorization.

211120122212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123898 (or 123894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211120122212120 its reverse (21212221021112), we get a palindrome (232332343233232).

The spelling of 211120122212120 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".