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12240010112000 = 210531141212029
BaseRepresentation
bin1011001000011101100101…
…1101000110110000000000
31121100010121100110001211212
42302013121131012300000
53101020020042041000
642010552155425252
72402211601214246
oct262073135066000
947303540401755
1012240010112000
113999a60680370
121458242755228
136aa2c6bc1b38
143045c3740796
151635cdbc7c35
hexb21d9746c00

12240010112000 has 352 divisors, whose sum is σ = 34124813835840. Its totient is φ = 4342333440000.

The previous prime is 12240010111997. The next prime is 12240010112027. The reversal of 12240010112000 is 21101004221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57621986 + ... + 57834014.

Almost surely, 212240010112000 is an apocalyptic number.

12240010112000 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 12240010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062406917920).

12240010112000 is an abundant number, since it is smaller than the sum of its proper divisors (21884803723840).

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

12240010112000 is a wasteful number, since it uses less digits than its factorization.

12240010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212116 (or 212088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12240010112000 its reverse (21101004221), we get a palindrome (12261111116221).

The spelling of 12240010112000 in words is "twelve trillion, two hundred forty billion, ten million, one hundred twelve thousand".