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20121122512 = 24191031574093
BaseRepresentation
bin10010101111010011…
…111111011011010000
31220221021102221002201
4102233103333123100
5312202001410022
613124333252544
71311422501521
oct225723773320
956837387081
1020121122512
118595938177
123a96634154
131b8880576a
14d8c414848
157cb6e4127
hex4af4ff6d0

20121122512 has 80 divisors (see below), whose sum is σ = 41709016960. Its totient is φ = 9376114176.

The previous prime is 20121122501. The next prime is 20121122533. The reversal of 20121122512 is 21522112102.

It is a happy number.

It is a super-2 number, since 2×201211225122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 20121122512.

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, 4913938 + ... + 4918030.

It is an arithmetic number, because the mean of its divisors is an integer number (521362712).

Almost surely, 220121122512 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 20121122512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854508480).

20121122512 is an abundant number, since it is smaller than the sum of its proper divisors (21587894448).

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

20121122512 is a wasteful number, since it uses less digits than its factorization.

20121122512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 20121122512 its reverse (21522112102), we get a palindrome (41643234614).

The spelling of 20121122512 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 103 152 157 206 304 314 412 628 824 1256 1648 1957 2512 2983 3914 4093 5966 7828 8186 11932 15656 16171 16372 23864 31312 32342 32744 47728 64684 65488 77767 129368 155534 258736 307249 311068 421579 614498 622136 642601 843158 1228996 1244272 1285202 1686316 2457992 2570404 3372632 4915984 5140808 6745264 8010001 10281616 12209419 16020002 24418838 32040004 48837676 64080008 66187903 97675352 128160016 132375806 195350704 264751612 529503224 1059006448 1257570157 2515140314 5030280628 10060561256 20121122512