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12404132020 = 2257277499641
BaseRepresentation
bin10111000110101100…
…00000100010110100
31012000110120012021001
423203112000202310
5200400424211040
65410503333044
7616246245130
oct134326004264
935013505231
1012404132020
115295899a85
1224a2151184
131228ac1ab7
1485957a3c0
154c8e9d59a
hex2e35808b4

12404132020 has 96 divisors (see below), whose sum is σ = 29983968000. Its totient is φ = 4222402560.

The previous prime is 12404132009. The next prime is 12404132029. The reversal of 12404132020 is 2023140421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404132029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19350900 + ... + 19351540.

It is an arithmetic number, because the mean of its divisors is an integer number (312333000).

Almost surely, 212404132020 is an apocalyptic number.

12404132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991984000).

12404132020 is an abundant number, since it is smaller than the sum of its proper divisors (17579835980).

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

12404132020 is a wasteful number, since it uses less digits than its factorization.

12404132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12404132020 its reverse (2023140421), we get a palindrome (14427272441).

The spelling of 12404132020 in words is "twelve billion, four hundred four million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 499 554 641 998 1108 1282 1385 1939 1996 2495 2564 2770 3205 3493 3878 4487 4990 5540 6410 6986 7756 8974 9695 9980 12820 13972 17465 17948 19390 22435 34930 38780 44870 69860 89740 138223 177557 276446 319859 355114 552892 639718 691115 710228 887785 967561 1242899 1279436 1382230 1599295 1775570 1935122 2239013 2485798 2764460 3198590 3551140 3870244 4478026 4837805 4971596 6214495 6397180 8956052 9675610 11195065 12428990 19351220 22390130 24857980 44780260 88600943 177201886 354403772 443004715 620206601 886009430 1240413202 1772018860 2480826404 3101033005 6202066010 12404132020