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121951104 = 2731128871
BaseRepresentation
bin1110100010011…
…01001110000000
322111110202110120
413101031032000
5222204413404
620033500240
73010365402
oct721151600
9274422416
10121951104
1162924740
1234a11680
131c35b022
14122a6b72
15aa8d9d9
hex744d380

121951104 has 64 divisors (see below), whose sum is σ = 353393280. Its totient is φ = 36953600.

The previous prime is 121951079. The next prime is 121951133. The reversal of 121951104 is 401159121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10212 + ... + 18659.

It is an arithmetic number, because the mean of its divisors is an integer number (5521770).

Almost surely, 2121951104 is an apocalyptic number.

It is an amenable number.

121951104 is an abundant number, since it is smaller than the sum of its proper divisors (231442176).

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

121951104 is a wasteful number, since it uses less digits than its factorization.

121951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28899 (or 28887 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 121951104 is about 11043.1473774463. The cubic root of 121951104 is about 495.9012984316.

The spelling of 121951104 in words is "one hundred twenty-one million, nine hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 28871 57742 86613 115484 173226 230968 317581 346452 461936 635162 692904 923872 952743 1270324 1385808 1847744 1905486 2540648 2771616 3695488 3810972 5081296 5543232 7621944 10162592 11086464 15243888 20325184 30487776 40650368 60975552 121951104