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12140197899900 = 22352723594260167
BaseRepresentation
bin1011000010101001110000…
…1011101110111001111100
31120222120222021011100011120
42300222130023232321330
53042401111130244100
641453044021350540
72362046264341320
oct260523413567174
946876867140146
1012140197899900
1139606a1247084
121440a27868450
136a0a7b281cc5
142dd835603980
15160bdb1d40a0
hexb0a9c2eee7c

12140197899900 has 288 divisors, whose sum is σ = 42598953492480. Its totient is φ = 2609266471680.

The previous prime is 12140197899889. The next prime is 12140197899911. The reversal of 12140197899900 is 999879104121.

It is an interprime number because it is at equal distance from previous prime (12140197899889) and next prime (12140197899911).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 719617 + ... + 4979783.

It is an arithmetic number, because the mean of its divisors is an integer number (147913032960).

Almost surely, 212140197899900 is an apocalyptic number.

12140197899900 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 12140197899900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299476746240).

12140197899900 is an abundant number, since it is smaller than the sum of its proper divisors (30458755592580).

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

12140197899900 is a wasteful number, since it uses less digits than its factorization.

12140197899900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260273 (or 4260266 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 60.

The spelling of 12140197899900 in words is "twelve trillion, one hundred forty billion, one hundred ninety-seven million, eight hundred ninety-nine thousand, nine hundred".