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12403150400000 = 29557751969
BaseRepresentation
bin1011010001111101010101…
…0111111010101000000000
31121220201200212200101010202
42310133111113322220000
53111203123000300000
642213532330144332
72420045425613123
oct264372527725000
947821625611122
1012403150400000
113a52168062368
121483991b820a8
136bc7c5921429
1430c45c3383ba
1516797b1badd5
hexb47d55faa00

12403150400000 has 120 divisors (see below), whose sum is σ = 30975616300860. Its totient is φ = 4961259520000.

The previous prime is 12403150399889. The next prime is 12403150400023. The reversal of 12403150400000 is 405130421.

12403150400000 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 5533635207424 + 6869515192576 = 2352368^2 + 2620976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2275985 + ... + 5475984.

Almost surely, 212403150400000 is an apocalyptic number.

12403150400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12403150400000 is an abundant number, since it is smaller than the sum of its proper divisors (18572465900860).

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

12403150400000 is an frugal number, since it uses more digits than its factorization.

12403150400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752012 (or 7751976 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12403150400000 its reverse (405130421), we get a palindrome (12403555530421).

The spelling of 12403150400000 in words is "twelve trillion, four hundred three billion, one hundred fifty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 200000 320000 400000 800000 1600000 7751969 15503938 31007876 38759845 62015752 77519690 124031504 155039380 193799225 248063008 310078760 387598450 496126016 620157520 775196900 968996125 992252032 1240315040 1550393800 1937992250 1984504064 2480630080 3100787600 3875984500 3969008128 4844980625 4961260160 6201575200 7751969000 9689961250 9922520320 12403150400 15503938000 19379922500 19845040640 24224903125 24806300800 31007876000 38759845000 48449806250 49612601600 62015752000 77519690000 96899612500 99225203200 124031504000 155039380000 193799225000 248063008000 310078760000 387598450000 496126016000 620157520000 775196900000 1240315040000 1550393800000 2480630080000 3100787600000 6201575200000 12403150400000