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22112133020120 = 235111337752913877
BaseRepresentation
bin1010000011100011000011…
…10101010111100111011000
32220021220021120100222112002
411001301201311113213120
510344241122023120440
6115010101302540132
74441356161331653
oct501614165274730
986256246328462
1022112133020120
11705578069a580
122591590737648
13c4521bc24690
145663392d489a
152852c2347115
hex141c61d579d8

22112133020120 has 256 divisors, whose sum is σ = 60042289910400. Its totient is φ = 7220173455360.

The previous prime is 22112133020119. The next prime is 22112133020123. The reversal of 22112133020120 is 2102033121122.

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 = 22112133020092 and 22112133020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112133020123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593430622 + ... + 1593444498.

Almost surely, 222112133020120 is an apocalyptic number.

22112133020120 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 22112133020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30021144955200).

22112133020120 is an abundant number, since it is smaller than the sum of its proper divisors (37930156890280).

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

22112133020120 is a wasteful number, since it uses less digits than its factorization.

22112133020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21478 (or 21474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22112133020120 its reverse (2102033121122), we get a palindrome (24214166141242).

The spelling of 22112133020120 in words is "twenty-two trillion, one hundred twelve billion, one hundred thirty-three million, twenty thousand, one hundred twenty".