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12092121450 = 234528813389
BaseRepresentation
bin10110100001011111…
…10010000101101010
31011012201110102020000
423100233302011222
5144231040341300
65315520043430
7605440223253
oct132057620552
934181412200
1012092121450
115145761902
122415763576
1311a927a266
14829d5bb2a
154ab8bac00
hex2d0bf216a

12092121450 has 120 divisors (see below), whose sum is σ = 33646244940. Its totient is φ = 3219955200.

The previous prime is 12092121409. The next prime is 12092121463. The reversal of 12092121450 is 5412129021.

12092121450 is a `hidden beast` number, since 1 + 2 + 0 + 92 + 121 + 450 = 666.

12092121450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5903309889 + 6188811561 = 76833^2 + 78669^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3566356 + ... + 3569744.

Almost surely, 212092121450 is an apocalyptic number.

12092121450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12092121450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823122470).

12092121450 is an abundant number, since it is smaller than the sum of its proper divisors (21554123490).

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

12092121450 is a wasteful number, since it uses less digits than its factorization.

12092121450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12092121450 in words is "twelve billion, ninety-two million, one hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 881 1350 1762 2025 2643 3389 4050 4405 5286 6778 7929 8810 10167 13215 15858 16945 20334 22025 23787 26430 30501 33890 39645 44050 47574 50835 61002 66075 71361 79290 84725 91503 101670 118935 132150 142722 152505 169450 183006 198225 237870 254175 274509 305010 356805 396450 457515 508350 549018 594675 713610 762525 915030 1189350 1372545 1525050 1784025 2287575 2745090 2985709 3568050 4575150 5971418 6862725 8957127 13725450 14928545 17914254 26871381 29857090 44785635 53742762 74642725 80614143 89571270 134356905 149285450 161228286 223928175 241842429 268713810 403070715 447856350 483684858 671784525 806141430 1209212145 1343569050 2015353575 2418424290 4030707150 6046060725 12092121450