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12223445678900 = 2252126653965113
BaseRepresentation
bin1011000111011111111000…
…1000110011101100110100
31121021112211221112200101122
42301313332020303230310
53100232104043211100
641555212354243112
72401054243650341
oct261677610635464
947245757480348
1012223445678900
113992a3046a635
121454b9b286498
136a8887213b31
143038918437c8
15162e5e88c985
hexb1dfe233b34

12223445678900 has 36 divisors (see below), whose sum is σ = 26525114036652. Its totient is φ = 4889334600960.

The previous prime is 12223445678891. The next prime is 12223445678909. The reversal of 12223445678900 is 987654432221.

It is an interprime number because it is at equal distance from previous prime (12223445678891) and next prime (12223445678909).

It can be written as a sum of positive squares in 6 ways, for example, as 3917129722276 + 8306315956624 = 1979174^2 + 2882068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223445678909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12182744 + ... + 13147856.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12223445678900 = 24446891357800, but 3⋅12223445678900 = 36670337036700 is not.

Almost surely, 212223445678900 is an apocalyptic number.

12223445678900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223445678900 is an abundant number, since it is smaller than the sum of its proper divisors (14301668357752).

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

12223445678900 is a wasteful number, since it uses less digits than its factorization.

12223445678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091780 (or 1091773 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 12223445678900 in words is "twelve trillion, two hundred twenty-three billion, four hundred forty-five million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 126653 253306 506612 633265 965113 1266530 1930226 2533060 3166325 3860452 4825565 6332650 9651130 12665300 19302260 24127825 48255650 96511300 122234456789 244468913578 488937827156 611172283945 1222344567890 2444689135780 3055861419725 6111722839450 12223445678900