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12210433211004 = 22371793792142691
BaseRepresentation
bin1011000110101111011010…
…0010001011101001111100
31121020022021002021211012020
42301223312202023221330
53100023431400223004
641545221240040140
72400113626544220
oct261536642135174
947208232254166
1012210433211004
113988463249936
121452569463050
136a75923981a2
14302db9590780
1516294c2c68d9
hexb1af688ba7c

12210433211004 has 96 divisors (see below), whose sum is σ = 32829469747200. Its totient is φ = 3460050095040.

The previous prime is 12210433211003. The next prime is 12210433211071. The reversal of 12210433211004 is 40011233401221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210433211003) 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, 4627299 + ... + 6769989.

It is an arithmetic number, because the mean of its divisors is an integer number (341973643200).

Almost surely, 212210433211004 is an apocalyptic number.

12210433211004 is a gapful number since it is divisible by the number (14) 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 12210433211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414734873600).

12210433211004 is an abundant number, since it is smaller than the sum of its proper divisors (20619036536196).

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

12210433211004 is a wasteful number, since it uses less digits than its factorization.

12210433211004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143263 (or 2143261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12210433211004 its reverse (40011233401221), we get a palindrome (52221666612225).

The spelling of 12210433211004 in words is "twelve trillion, two hundred ten billion, four hundred thirty-three million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 379 537 716 758 1074 1137 1253 1516 2148 2274 2506 2653 3759 4548 5012 5306 7518 7959 10612 15036 15918 31836 67841 135682 203523 271364 407046 474887 814092 949774 1424661 1899548 2142691 2849322 4285382 5698644 6428073 8570764 12856146 14998837 25712292 29997674 44996511 59995348 89993022 179986044 383541689 767083378 812079889 1150625067 1534166756 1624159778 2301250134 2436239667 2684791823 3248319556 4602500268 4872479334 5369583646 5684559223 8054375469 9744958668 10739167292 11369118446 16108750938 17053677669 22738236892 32217501876 34107355338 68214710676 145362300131 290724600262 436086900393 581449200524 872173800786 1017536100917 1744347601572 2035072201834 3052608302751 4070144403668 6105216605502 12210433211004