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22121244120020 = 22529106133593713
BaseRepresentation
bin1010000011110100000001…
…11001011101001111010100
32220022202210112111210221112
411001322000321131033110
510344413301443320040
6115014205333234152
74442131023365303
oct501720071351724
986282715453845
1022121244120020
117059626673801
1225932b3a92958
13c46041703856
1456696138a43a
1528565716c365
hex141e80e5d3d4

22121244120020 has 48 divisors (see below), whose sum is σ = 48061037298960. Its totient is φ = 8542569670656.

The previous prime is 22121244119993. The next prime is 22121244120077. The reversal of 22121244120020 is 2002144212122.

It can be written as a sum of positive squares in 8 ways, for example, as 1512713045776 + 20608531074244 = 1229924^2 + 4539662^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4358684 + ... + 7952396.

It is an arithmetic number, because the mean of its divisors is an integer number (1001271610395).

Almost surely, 222121244120020 is an apocalyptic number.

22121244120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121244120020 is an abundant number, since it is smaller than the sum of its proper divisors (25939793178940).

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

22121244120020 is a wasteful number, since it uses less digits than its factorization.

22121244120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604364 (or 3604362 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 22121244120020 its reverse (2002144212122), we get a palindrome (24123388332142).

The spelling of 22121244120020 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred forty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 10613 21226 42452 53065 106130 212260 307777 615554 1231108 1538885 3077770 3593713 6155540 7187426 14374852 17968565 35937130 71874260 104217677 208435354 416870708 521088385 1042176770 2084353540 38140076069 76280152138 152560304276 190700380345 381400760690 762801521380 1106062206001 2212124412002 4424248824004 5530311030005 11060622060010 22121244120020