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12120032140240 = 245263213575581
BaseRepresentation
bin1011000001011110101000…
…1101011101101111010000
31120220122220212201121102011
42300113222031131233100
53042033311211441430
641435511011232304
72360433460246153
oct260275215355720
946818825647364
1012120032140240
1139530931a1402
121438b3a2a8694
1369bbb644b13b
142dc8812cdc9a
1516040ab2422a
hexb05ea35dbd0

12120032140240 has 40 divisors (see below), whose sum is σ = 28179230741928. Its totient is φ = 4847986014720.

The previous prime is 12120032140163. The next prime is 12120032140277. The reversal of 12120032140240 is 4204123002121.

It can be written as a sum of positive squares in 4 ways, for example, as 2416233971776 + 9703798168464 = 1554424^2 + 3115092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20769250 + ... + 21344830.

Almost surely, 212120032140240 is an apocalyptic number.

12120032140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120032140240 is an abundant number, since it is smaller than the sum of its proper divisors (16059198601688).

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

12120032140240 is a wasteful number, since it uses less digits than its factorization.

12120032140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838807 (or 838801 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12120032140240 its reverse (4204123002121), we get a palindrome (16324155142361).

The spelling of 12120032140240 in words is "twelve trillion, one hundred twenty billion, thirty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263213 526426 575581 1052852 1151162 1316065 2105704 2302324 2632130 2877905 4211408 4604648 5264260 5755810 9209296 10528520 11511620 21057040 23023240 46046480 151500401753 303000803506 606001607012 757502008765 1212003214024 1515004017530 2424006428048 3030008035060 6060016070120 12120032140240