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122248150080 = 2635723898887
BaseRepresentation
bin111000111011010001…
…1101011110001000000
3102200112200110110122020
41301312203223301000
54000331011300310
6132054322041440
711555265062550
oct1616643536100
9380480413566
10122248150080
11479329915a1
121b8387a9280
13b6b2ba70a4
145cb9b59160
1532a7534170
hex1c768ebc40

122248150080 has 448 divisors, whose sum is σ = 468125982720. Its totient is φ = 26424262656.

The previous prime is 122248150051. The next prime is 122248150081. The reversal of 122248150080 is 80051842221.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1222481500802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122248150081) 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, 13751397 + ... + 13760283.

Almost surely, 2122248150080 is an apocalyptic number.

122248150080 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 122248150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234062991360).

122248150080 is an abundant number, since it is smaller than the sum of its proper divisors (345877832640).

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

122248150080 is a wasteful number, since it uses less digits than its factorization.

122248150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 122248150080 in words is "one hundred twenty-two billion, two hundred forty-eight million, one hundred fifty thousand, eighty".