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12012001101984 = 25313372411079399
BaseRepresentation
bin1010111011001100001100…
…0011110000100010100000
31120112100002000021020210010
42232303003003300202200
53033301034240230414
641314123115204520
72346560404466022
oct256630303604240
946470060236703
1012012001101984
113911296519404
12142000aa46740
1369195ab4bb70
142d7553806012
1515c6d680c959
hexaecc30f08a0

12012001101984 has 192 divisors, whose sum is σ = 35019500947200. Its totient is φ = 3581183508480.

The previous prime is 12012001101983. The next prime is 12012001102001. The reversal of 12012001101984 is 48910110021021.

It is not an unprimeable number, because it can be changed into a prime (12012001101983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10588717 + ... + 11668115.

It is an arithmetic number, because the mean of its divisors is an integer number (182393234100).

Almost surely, 212012001101984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012001101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509750473600).

12012001101984 is an abundant number, since it is smaller than the sum of its proper divisors (23007499845216).

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

12012001101984 is a wasteful number, since it uses less digits than its factorization.

12012001101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079703 (or 1079695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 12012001101984 in words is "twelve trillion, twelve billion, one million, one hundred one thousand, nine hundred eighty-four".