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12234011122890 = 2335139325979513
BaseRepresentation
bin1011001000000111001111…
…1000110001110011001010
31121022120010021021211212000
42302001303320301303022
53100420223321413030
642004121020331430
72401610125516134
oct262016370616312
947276107254760
1012234011122890
113997462380027
1214570496a3b76
136a987c0bb23b
143041b4b16054
1516337c1de860
hexb2073e31cca

12234011122890 has 64 divisors (see below), whose sum is σ = 32858735011200. Its totient is φ = 3238932431232.

The previous prime is 12234011122777. The next prime is 12234011122979. The reversal of 12234011122890 is 9822111043221.

It is a happy number.

12234011122890 is a `hidden beast` number, since 1 + 2 + 2 + 340 + 1 + 1 + 1 + 228 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162952227 + ... + 163027286.

It is an arithmetic number, because the mean of its divisors is an integer number (513417734550).

Almost surely, 212234011122890 is an apocalyptic number.

12234011122890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12234011122890 is an abundant number, since it is smaller than the sum of its proper divisors (20624723888310).

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

12234011122890 is a wasteful number, since it uses less digits than its factorization.

12234011122890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325979668 (or 325979662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12234011122890 in words is "twelve trillion, two hundred thirty-four billion, eleven million, one hundred twenty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 270 278 417 695 834 1251 1390 2085 2502 3753 4170 6255 7506 12510 18765 37530 325979513 651959026 977938539 1629897565 1955877078 2933815617 3259795130 4889692695 5867631234 8801446851 9779385390 14669078085 17602893702 29338156170 44007234255 45311152307 88014468510 90622304614 135933456921 226555761535 271866913842 407800370763 453111523070 679667284605 815600741526 1223401112289 1359334569210 2039001853815 2446802224578 4078003707630 6117005561445 12234011122890