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12233778000 = 2435317315373
BaseRepresentation
bin10110110010011000…
…01010001101010000
31011120121000022110220
423121030022031100
5200023321344000
65341540153040
7612110253153
oct133114121520
934517008426
1012233778000
115208715534
122455098780
1311cc7175c2
14840ab3c9a
154b904d1a0
hex2d930a350

12233778000 has 640 divisors, whose sum is σ = 44524007424. Its totient is φ = 2875392000.

The previous prime is 12233777999. The next prime is 12233778001. The reversal of 12233778000 is 87733221.

It is an interprime number because it is at equal distance from previous prime (12233777999) and next prime (12233778001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233778001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167585964 + ... + 167586036.

Almost surely, 212233778000 is an apocalyptic number.

12233778000 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 12233778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262003712).

12233778000 is an abundant number, since it is smaller than the sum of its proper divisors (32290229424).

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

12233778000 is a wasteful number, since it uses less digits than its factorization.

12233778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12233778000 in words is "twelve billion, two hundred thirty-three million, seven hundred seventy-eight thousand".