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9901220012112 = 243111329353140909
BaseRepresentation
bin1001000000010100111010…
…1100111010000001010000
31022001112210001020221120110
42100011032230322001100
52244210144310341422
633020320243041320
72041224314323362
oct220051654720120
938045701227513
109901220012112
1131780a16330a0
12113ab0a670240
1356a8b1329050
1426331612ad32
15122847d9860c
hex9014eb3a050

9901220012112 has 320 divisors, whose sum is σ = 31174342214400. Its totient is φ = 2666475356160.

The previous prime is 9901220012111. The next prime is 9901220012137. The reversal of 9901220012112 is 2112100221099.

It is a self number, because there is not a number n which added to its sum of digits gives 9901220012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901220012111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70196314 + ... + 70337222.

It is an arithmetic number, because the mean of its divisors is an integer number (97419819420).

Almost surely, 29901220012112 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 9901220012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587171107200).

9901220012112 is an abundant number, since it is smaller than the sum of its proper divisors (21273122202288).

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

9901220012112 is a wasteful number, since it uses less digits than its factorization.

9901220012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141326 (or 141320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 9901220012112 in words is "nine trillion, nine hundred one billion, two hundred twenty million, twelve thousand, one hundred twelve".