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12161100 = 2235275791
BaseRepresentation
bin101110011001…
…000001001100
3211212211220010
4232121001030
511103123400
61112353220
7205240050
oct56310114
924784803
1012161100
1169568a6
1240a5810
13269a423
141887c60
151103450
hexb9904c

12161100 has 72 divisors (see below), whose sum is σ = 40219648. Its totient is φ = 2779200.

The previous prime is 12161099. The next prime is 12161113. The reversal of 12161100 is 116121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796 + ... + 4995.

Almost surely, 212161100 is an apocalyptic number.

12161100 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 12161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109824).

12161100 is an abundant number, since it is smaller than the sum of its proper divisors (28058548).

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

12161100 is a wasteful number, since it uses less digits than its factorization.

12161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 12161100 is about 3487.2768745828. The cubic root of 12161100 is about 229.9628169255.

Adding to 12161100 its reverse (116121), we get a palindrome (12277221).

The spelling of 12161100 in words is "twelve million, one hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5791 11582 17373 23164 28955 34746 40537 57910 69492 81074 86865 115820 121611 144775 162148 173730 202685 243222 289550 347460 405370 434325 486444 579100 608055 810740 868650 1013425 1216110 1737300 2026850 2432220 3040275 4053700 6080550 12161100