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12140011404020 = 2256766071371229
BaseRepresentation
bin1011000010101001000100…
…0100010011101011110100
31120222120111021020100220202
42300222101010103223310
53042400220404412040
641453013320220032
72362041541216463
oct260522104235364
946876437210822
1012140011404020
113960605a47a55
12144099530a618
136a0a4b745506
142dd8189389da
15160bc9b46015
hexb0a91113af4

12140011404020 has 48 divisors (see below), whose sum is σ = 25878466871040. Its totient is φ = 4782799384704.

The previous prime is 12140011403959. The next prime is 12140011404029. The reversal of 12140011404020 is 2040411004121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12140011403983 and 12140011404001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140011404029) 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, 8167766 + ... + 9538994.

It is an arithmetic number, because the mean of its divisors is an integer number (539134726480).

Almost surely, 212140011404020 is an apocalyptic number.

12140011404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12140011404020 is an abundant number, since it is smaller than the sum of its proper divisors (13738455467020).

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

12140011404020 is a wasteful number, since it uses less digits than its factorization.

12140011404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377912 (or 1377910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12140011404020 its reverse (2040411004121), we get a palindrome (14180422408141).

The spelling of 12140011404020 in words is "twelve trillion, one hundred forty billion, eleven million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 6607 13214 26428 33035 66070 132140 442669 885338 1371229 1770676 2213345 2742458 4426690 5484916 6856145 8853380 13712290 27424580 91872343 183744686 367489372 459361715 918723430 1837446860 9059710003 18119420006 36238840012 45298550015 90597100030 181194200060 607000570201 1214001140402 2428002280804 3035002851005 6070005702010 12140011404020