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12100212300 = 223521129227557
BaseRepresentation
bin10110100010011101…
…01001011001001100
31011020021200110210010
423101032221121030
5144240123243200
65320405313220
7605566051611
oct132116513114
934207613703
1012100212300
11514a288660
122418405810
1311aab50b47
1482b066508
154ac468150
hex2d13a964c

12100212300 has 288 divisors, whose sum is σ = 39754955520. Its totient is φ = 2814694400.

The previous prime is 12100212259. The next prime is 12100212331. The reversal of 12100212300 is 321200121.

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 95 ways as a sum of consecutive naturals, for example, 21723622 + ... + 21724178.

It is an arithmetic number, because the mean of its divisors is an integer number (138038040).

Almost surely, 212100212300 is an apocalyptic number.

12100212300 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 12100212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877477760).

12100212300 is an abundant number, since it is smaller than the sum of its proper divisors (27654743220).

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

12100212300 is a wasteful number, since it uses less digits than its factorization.

12100212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100212300 its reverse (321200121), we get a palindrome (12421412421).

The spelling of 12100212300 in words is "twelve billion, one hundred million, two hundred twelve thousand, three hundred".