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1214211103112 = 237171291987941
BaseRepresentation
bin10001101010110100100…
…111110001100110001000
311022002002110101221120202
4101222310213301212020
5124343201020244422
62325444553511332
7153503166041360
oct21526447614610
94262073357522
101214211103112
11428a42571207
121773a4a12548
138a66586a867
1442aa7a739a0
15218b761cb92
hex11ab49f1988

1214211103112 has 64 divisors (see below), whose sum is σ = 2757069498240. Its totient is φ = 489385958400.

The previous prime is 1214211103081. The next prime is 1214211103117. The reversal of 1214211103112 is 2113011124121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1214211103117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735062 + ... + 1723002.

It is an arithmetic number, because the mean of its divisors is an integer number (43079210910).

Almost surely, 21214211103112 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 1214211103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378534749120).

1214211103112 is an abundant number, since it is smaller than the sum of its proper divisors (1542858395128).

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

1214211103112 is a wasteful number, since it uses less digits than its factorization.

1214211103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989262 (or 989258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1214211103112 its reverse (2113011124121), we get a palindrome (3327222227233).

The spelling of 1214211103112 in words is "one trillion, two hundred fourteen billion, two hundred eleven million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1291 2582 5164 9037 10328 18074 21947 36148 43894 72296 87788 153629 175576 307258 614516 987941 1229032 1975882 3951764 6915587 7903528 13831174 16794997 27662348 33589994 55324696 67179988 117564979 134359976 235129958 470259916 940519832 1275431831 2550863662 5101727324 8928022817 10203454648 17856045634 21682341127 35712091268 43364682254 71424182536 86729364508 151776387889 173458729016 303552775778 607105551556 1214211103112