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10112122220112 = 24321150365919259
BaseRepresentation
bin1001001100100110100101…
…1100111110111001010000
31022210201011011222011220100
42103021221130332321100
52311134111242020422
633301240025212400
72062401546445353
oct223115134767120
938721134864810
1010112122220112
113249588409550
121173969331100
13584752223073
1426d60210429a
1512808d4e17ac
hex9326973ee50

10112122220112 has 240 divisors, whose sum is σ = 30982541990400. Its totient is φ = 3053388253440.

The previous prime is 10112122220099. The next prime is 10112122220119. The reversal of 10112122220112 is 21102222121101.

10112122220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101121222201123 (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112122220119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525049939 + ... + 525069197.

It is an arithmetic number, because the mean of its divisors is an integer number (129093924960).

Almost surely, 210112122220112 is an apocalyptic number.

10112122220112 is a gapful number since it is divisible by the number (12) 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 10112122220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491270995200).

10112122220112 is an abundant number, since it is smaller than the sum of its proper divisors (20870419770288).

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

10112122220112 is a wasteful number, since it uses less digits than its factorization.

10112122220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20446 (or 20437 counting only the distinct ones).

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

Adding to 10112122220112 its reverse (21102222121101), we get a palindrome (31214344341213).

The spelling of 10112122220112 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".