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12261780000 = 253654292
BaseRepresentation
bin10110110101101101…
…11110101000100000
31011122112200222000000
423122312332220200
5200103003430000
65344420300000
7612600260511
oct133266765040
934575628000
1012261780000
115222500888
122462541600
131205470032
148446c2a08
154bb730000
hex2dadbea20

12261780000 has 630 divisors, whose sum is σ = 46841403609. Its totient is φ = 3157056000.

The previous prime is 12261779977. The next prime is 12261780019. The reversal of 12261780000 is 8716221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 806787216 + 11454992784 = 28404^2 + 107028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78300.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 422819986 + ... + 422820014.

Almost surely, 212261780000 is an apocalyptic number.

12261780000 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 12261780000

12261780000 is an abundant number, since it is smaller than the sum of its proper divisors (34579623609).

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

12261780000 is an frugal number, since it uses more digits than its factorization.

12261780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12261780000 in words is "twelve billion, two hundred sixty-one million, seven hundred eighty thousand".