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12100032240 = 2435215323417
BaseRepresentation
bin10110100010011011…
…11101011011110000
31011020021100022210020
423101031331123300
5144240102012430
65320401403440
7605564401632
oct132115753360
934207308706
1012100032240
11514a17534a
122418339580
1311aaab9bba
1482b01aa52
154ac42eb10
hex2d137d6f0

12100032240 has 80 divisors (see below), whose sum is σ = 37529124768. Its totient is φ = 3225038848.

The previous prime is 12100032227. The next prime is 12100032271. The reversal of 12100032240 is 4223000121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505012 + ... + 528428.

Almost surely, 212100032240 is an apocalyptic number.

12100032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100032240 is an abundant number, since it is smaller than the sum of its proper divisors (25429092528).

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

12100032240 is a wasteful number, since it uses less digits than its factorization.

12100032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25586 (or 25580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12100032240 its reverse (4223000121), we get a palindrome (16323032361).

The spelling of 12100032240 in words is "twelve billion, one hundred million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2153 4306 6459 8612 10765 12918 17224 21530 23417 25836 32295 34448 43060 46834 51672 64590 70251 86120 93668 103344 117085 129180 140502 172240 187336 234170 258360 281004 351255 374672 468340 516720 562008 702510 936680 1124016 1405020 1873360 2810040 5620080 50416801 100833602 151250403 201667204 252084005 302500806 403334408 504168010 605001612 756252015 806668816 1008336020 1210003224 1512504030 2016672040 2420006448 3025008060 4033344080 6050016120 12100032240