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12214540800000 = 212365571117
BaseRepresentation
bin1011000110111110101101…
…0111011001000000000000
31121020200212100102222000000
42301233223113121000000
53100110334421100000
641551141012000000
72400320464511310
oct261575327310000
947220770388000
1012214540800000
11398a180938290
121453315000000
136a7a98389716
14303288d0d440
15162adcc00000
hexb1beb5d9000

12214540800000 has 4368 divisors, whose sum is σ = 60427282656384. Its totient is φ = 2388787200000.

The previous prime is 12214540799977. The next prime is 12214540800041. The reversal of 12214540800000 is 804541221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 718502399992 + ... + 718502400008.

Almost surely, 212214540800000 is an apocalyptic number.

12214540800000 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 12214540800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213641328192).

12214540800000 is an abundant number, since it is smaller than the sum of its proper divisors (48212741856384).

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

12214540800000 is an frugal number, since it uses more digits than its factorization.

12214540800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 12214540800000 in words is "twelve trillion, two hundred fourteen billion, five hundred forty million, eight hundred thousand".