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10120222112 = 25711131931637
BaseRepresentation
bin10010110110011011…
…00101010110100000
3222010021222112212012
421123031211112200
5131211234101422
64352115252052
7505534316510
oct113315452640
928107875765
1010120222112
114323668730
121b652aa028
13c53891510
146c00d9840
153e37094e2
hex25b3655a0

10120222112 has 192 divisors, whose sum is σ = 26906390784. Its totient is φ = 3618570240.

The previous prime is 10120222093. The next prime is 10120222117. The reversal of 10120222112 is 21122202101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10120222117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6181358 + ... + 6182994.

It is an arithmetic number, because the mean of its divisors is an integer number (140137452).

Almost surely, 210120222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453195392).

10120222112 is an abundant number, since it is smaller than the sum of its proper divisors (16786168672).

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

10120222112 is a wasteful number, since it uses less digits than its factorization.

10120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120222112 its reverse (21122202101), we get a palindrome (31242424213).

It can be divided in two parts, 10120 and 222112, that added together give a palindrome (232232).

The spelling of 10120222112 in words is "ten billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".