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20212100112120 = 23357157241635939
BaseRepresentation
bin1001001100001111111110…
…00011000001111011111000
32122120020222000020120111220
410212013333003001323320
510122123340112041440
6110553151031352040
74154163453152460
oct446077703017370
978506860216456
1020212100112120
1164929a36485a4
1223252a7522620
13b37cba41a267
144dc3b137aba0
15250b6a7538d0
hex1261ff0c1ef8

20212100112120 has 256 divisors, whose sum is σ = 70029509299200. Its totient is φ = 4571427594240.

The previous prime is 20212100112101. The next prime is 20212100112121. The reversal of 20212100112120 is 2121100121202.

It is a super-2 number, since 2×202121001121202 (a number of 27 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 20212100112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212100112121) 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, 31465111 + ... + 32101049.

It is an arithmetic number, because the mean of its divisors is an integer number (273552770700).

Almost surely, 220212100112120 is an apocalyptic number.

20212100112120 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 20212100112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014754649600).

20212100112120 is an abundant number, since it is smaller than the sum of its proper divisors (49817409187080).

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

20212100112120 is a wasteful number, since it uses less digits than its factorization.

20212100112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636358 (or 636354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212100112120 its reverse (2121100121202), we get a palindrome (22333200233322).

The spelling of 20212100112120 in words is "twenty trillion, two hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred twenty".