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12204210040 = 2351122779103
BaseRepresentation
bin10110101110110110…
…10111011101111000
31011111112101002212021
423113123113131320
5144443234210130
65335002324224
7611301034201
oct132733273570
934445332767
1012204210040
1151a2a5a700
1224471b9674
1311c6564179
1483abb85a8
154b665c37a
hex2d76d7778

12204210040 has 96 divisors (see below), whose sum is σ = 30295016640. Its totient is φ = 4421387520.

The previous prime is 12204210013. The next prime is 12204210043. The reversal of 12204210040 is 4001240221.

It is a junction number, because it is equal to n+sod(n) for n = 12204209996 and 12204210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204210043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336129 + ... + 1345231.

It is an arithmetic number, because the mean of its divisors is an integer number (315573090).

Almost surely, 212204210040 is an apocalyptic number.

12204210040 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 12204210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147508320).

12204210040 is an abundant number, since it is smaller than the sum of its proper divisors (18090806600).

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

12204210040 is a wasteful number, since it uses less digits than its factorization.

12204210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12204210040 its reverse (4001240221), we get a palindrome (16205450261).

The spelling of 12204210040 in words is "twelve billion, two hundred four million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 277 440 484 554 605 968 1108 1210 1385 2216 2420 2770 3047 4840 5540 6094 9103 11080 12188 15235 18206 24376 30470 33517 36412 45515 60940 67034 72824 91030 100133 121880 134068 167585 182060 200266 268136 335170 364120 400532 500665 670340 801064 1001330 1101463 1340680 2002660 2202926 2521531 4005320 4405852 5043062 5507315 8811704 10086124 11014630 12607655 20172248 22029260 25215310 27736841 44058520 50430620 55473682 100861240 110947364 138684205 221894728 277368410 305105251 554736820 610210502 1109473640 1220421004 1525526255 2440842008 3051052510 6102105020 12204210040