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20120121021200 = 2452265011898053
BaseRepresentation
bin1001001001100100101001…
…01010101001001100010000
32122020110112211100122000212
410210302110222221030100
510114122001440134300
6110443020032303252
74144426232610524
oct444622452511420
978213484318025
1020120121021200
116457993871182
12230b4b79a1b28
13b2c41c591a85
144d7b676a7d84
1524d585794935
hex124c94aa9310

20120121021200 has 60 divisors (see below), whose sum is σ = 48340440250788. Its totient is φ = 8047740480000.

The previous prime is 20120121021071. The next prime is 20120121021211. The reversal of 20120121021200 is 212012102102.

It can be written as a sum of positive squares in 6 ways, for example, as 3473198777104 + 16646922244096 = 1863652^2 + 4080064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9651374 + ... + 11549426.

Almost surely, 220120121021200 is an apocalyptic number.

20120121021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120121021200 is an abundant number, since it is smaller than the sum of its proper divisors (28220319229588).

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

20120121021200 is a wasteful number, since it uses less digits than its factorization.

20120121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924572 (or 1924561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120121021200 its reverse (212012102102), we get a palindrome (20332133123302).

The spelling of 20120121021200 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 26501 53002 106004 132505 212008 265010 424016 530020 662525 1060040 1325050 1898053 2120080 2650100 3796106 5300200 7592212 9490265 10600400 15184424 18980530 30368848 37961060 47451325 75922120 94902650 151844240 189805300 379610600 759221200 50300302553 100600605106 201201210212 251501512765 402402420424 503003025530 804804840848 1006006051060 1257507563825 2012012102120 2515015127650 4024024204240 5030030255300 10060060510600 20120121021200