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12355310000 = 245411210211
BaseRepresentation
bin10111000000110111…
…10001000110110000
31011220001200210001002
423200123301012300
5200300424410000
65402001101132
7615114254645
oct134033610660
934801623032
1012355310000
115270283300
1224899277a8
13121b959927
14852cabdcc
154c4a578d5
hex2e06f11b0

12355310000 has 150 divisors (see below), whose sum is σ = 32883283356. Its totient is φ = 4492400000.

The previous prime is 12355309973. The next prime is 12355310027. The reversal of 12355310000 is 1355321.

It is an interprime number because it is at equal distance from previous prime (12355309973) and next prime (12355310027).

It is a super-2 number, since 2×123553100002 (a number of 21 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 1204895 + ... + 1215105.

Almost surely, 212355310000 is an apocalyptic number.

12355310000 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 12355310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441641678).

12355310000 is an abundant number, since it is smaller than the sum of its proper divisors (20527973356).

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

12355310000 is a wasteful number, since it uses less digits than its factorization.

12355310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 12355310000 its reverse (1355321), we get a palindrome (12356665321).

The spelling of 12355310000 in words is "twelve billion, three hundred fifty-five million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 10211 11000 12100 13750 15125 20422 22000 24200 27500 30250 40844 48400 51055 55000 60500 75625 81688 102110 110000 112321 121000 151250 163376 204220 224642 242000 255275 302500 408440 449284 510550 561605 605000 816880 898568 1021100 1123210 1210000 1235531 1276375 1797136 2042200 2246420 2471062 2552750 2808025 4084400 4492840 4942124 5105500 5616050 6177655 6381875 8985680 9884248 10211000 11232100 12355310 12763750 14040125 19768496 20422000 22464200 24710620 25527500 28080250 30888275 44928400 49421240 51055000 56160500 61776550 70200625 98842480 102110000 112321000 123553100 140401250 154441375 224642000 247106200 280802500 308882750 494212400 561605000 617765500 772206875 1123210000 1235531000 1544413750 2471062000 3088827500 6177655000 12355310000