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1011121232112 = 243217413039719
BaseRepresentation
bin11101011011010111000…
…01011001100011110000
310120122212202222112220200
432231223201121203300
5113031234013411422
62052300325035200
7133023345444165
oct16555341314360
93518782875820
101011121232112
1135a8a5637212
12143b66555b00
137446b35bb64
1436d1d47406c
151b47cca12ac
hexeb6b8598f0

1011121232112 has 60 divisors (see below), whose sum is σ = 2996190128880. Its totient is φ = 317214503424.

The previous prime is 1011121232089. The next prime is 1011121232117. The reversal of 1011121232112 is 2112321211101.

It is a happy number.

1011121232112 is a `hidden beast` number, since 10 + 111 + 212 + 321 + 12 = 666.

It is a super-2 number, since 2×10111212321122 (a number of 25 digits) contains 22 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 (1011121232117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206517412 + ... + 206522307.

It is an arithmetic number, because the mean of its divisors is an integer number (49936502148).

Almost surely, 21011121232112 is an apocalyptic number.

1011121232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011121232112 is an abundant number, since it is smaller than the sum of its proper divisors (1985068896768).

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

1011121232112 is a wasteful number, since it uses less digits than its factorization.

1011121232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413039750 (or 413039741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011121232112 its reverse (2112321211101), we get a palindrome (3123442443213).

The spelling of 1011121232112 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 413039719 826079438 1239119157 1652158876 2478238314 3304317752 3717357471 4956476628 6608635504 7021675223 7434714942 9912953256 14043350446 14869429884 19825906512 21065025669 28086700892 29738859768 42130051338 56173401784 59477719536 63195077007 84260102676 112346803568 126390154014 168520205352 252780308028 337040410704 505560616056 1011121232112