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1122101012112 = 24334767369177
BaseRepresentation
bin10000010101000010011…
…011101010011010010000
310222021100011000111202220
4100111002123222122100
5121341030324341422
62215252554541040
7144032465142123
oct20250233523220
93867304014686
101122101012112
113a297584a563
12161579437780
1381a76836632
143c44a8203ba
151e2c5dd3e5c
hex105426ea690

1122101012112 has 40 divisors (see below), whose sum is σ = 2907114769056. Its totient is φ = 372955758336.

The previous prime is 1122101012101. The next prime is 1122101012117. The reversal of 1122101012112 is 2112101012211.

It is a happy number.

It is a super-2 number, since 2×11221010121122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101012091 and 1122101012100.

It is not an unprimeable number, because it can be changed into a prime (1122101012117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33667933 + ... + 33701244.

Almost surely, 21122101012112 is an apocalyptic number.

1122101012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122101012112 is an abundant number, since it is smaller than the sum of its proper divisors (1785013756944).

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

1122101012112 is a wasteful number, since it uses less digits than its factorization.

1122101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67369535 (or 67369529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122101012112 its reverse (2112101012211), we get a palindrome (3234202024323).

Subtracting 1122101012112 from its reverse (2112101012211), we obtain a palindrome (990000000099).

The spelling of 1122101012112 in words is "one trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2082 2776 4164 5552 8328 16656 67369177 134738354 202107531 269476708 404215062 538953416 808430124 1077906832 1616860248 3233720496 23377104419 46754208838 70131313257 93508417676 140262626514 187016835352 280525253028 374033670704 561050506056 1122101012112