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112121030020212 = 223227509113216513
BaseRepresentation
bin11001011111100100110110…
…001010101000110001110100
3112200222122222100201200200100
4121133210312022220301310
5104143442332141121322
61034243405022114100
732421322434312453
oct3137446612506164
9480878870650610
10112121030020212
11327a8297503574
12106a998211b930
134a73c7723b2b5
141d9898885ab9a
15ce67d2d06dac
hex65f9362a8c74

112121030020212 has 36 divisors (see below), whose sum is σ = 283427353312740. Its totient is φ = 37372317745152.

The previous prime is 112121030020201. The next prime is 112121030020289. The reversal of 112121030020212 is 212020030121211.

112121030020212 is a `hidden beast` number, since 1 + 12 + 121 + 0 + 300 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32929647726096 + 79191382294116 = 5738436^2 + 8898954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1121210300202122 (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55617933 + ... + 57598580.

It is an arithmetic number, because the mean of its divisors is an integer number (7872982036465).

Almost surely, 2112121030020212 is an apocalyptic number.

112121030020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121030020212 is an abundant number, since it is smaller than the sum of its proper divisors (171306323292528).

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

112121030020212 is a wasteful number, since it uses less digits than its factorization.

112121030020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113244032 (or 113244027 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112121030020212 its reverse (212020030121211), we get a palindrome (324141060141423).

The spelling of 112121030020212 in words is "one hundred twelve trillion, one hundred twenty-one billion, thirty million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27509 55018 82527 110036 165054 247581 330108 495162 990324 113216513 226433026 339649539 452866052 679299078 1018948617 1358598156 2037897234 4075794468 3114473056117 6228946112234 9343419168351 12457892224468 18686838336702 28030257505053 37373676673404 56060515010106 112121030020212