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22111212210120 = 2335511696729683
BaseRepresentation
bin1010000011100001010101…
…11100110000011111001000
32220021210220101200222200000
411001300222330300133020
510344232230311210440
6115005430050443000
74441324310511465
oct501605274603710
986253811628600
1022111212210120
117055348944380
122591374293460
13c45103222ca7
1456628ccbc66c
1528526b5a9730
hex141c2af307c8

22111212210120 has 384 divisors, whose sum is σ = 81312198589440. Its totient is φ = 5359343927040.

The previous prime is 22111212210089. The next prime is 22111212210149. The reversal of 22111212210120 is 2101221211122.

22111212210120 is a `hidden beast` number, since 2 + 211 + 121 + 2 + 210 + 120 = 666.

22111212210120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22111212210093 and 22111212210102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744896799 + ... + 744926481.

It is an arithmetic number, because the mean of its divisors is an integer number (211750517160).

Almost surely, 222111212210120 is an apocalyptic number.

22111212210120 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 22111212210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40656099294720).

22111212210120 is an abundant number, since it is smaller than the sum of its proper divisors (59200986379320).

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

22111212210120 is a wasteful number, since it uses less digits than its factorization.

22111212210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36687 (or 36671 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111212210120 its reverse (2101221211122), we get a palindrome (24212433421242).

The spelling of 22111212210120 in words is "twenty-two trillion, one hundred eleven billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".