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12221011012020 = 22356133138326339
BaseRepresentation
bin1011000111010110110100…
…0001010010100110110100
31121021022120021021210022020
42301311231001102212310
53100212112304341040
641554131023033140
72400640021430226
oct261655501224664
947238507253266
1012221011012020
1139919a112a348
12145461ba3b7b0
136a85899aac45
1430370035c416
15162d6ac69cd0
hexb1d6d0529b4

12221011012020 has 192 divisors, whose sum is σ = 34977281310720. Its totient is φ = 3187361548800.

The previous prime is 12221011012013. The next prime is 12221011012037. The reversal of 12221011012020 is 2021011012221.

It is a super-2 number, since 2×122210110120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463976011 + ... + 464002349.

It is an arithmetic number, because the mean of its divisors is an integer number (182173340160).

Almost surely, 212221011012020 is an apocalyptic number.

12221011012020 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 12221011012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488640655360).

12221011012020 is an abundant number, since it is smaller than the sum of its proper divisors (22756270298700).

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

12221011012020 is a wasteful number, since it uses less digits than its factorization.

12221011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27126 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221011012020 its reverse (2021011012221), we get a palindrome (14242022024241).

The spelling of 12221011012020 in words is "twelve trillion, two hundred twenty-one billion, eleven million, twelve thousand, twenty".