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12121200120 = 2335311324791
BaseRepresentation
bin10110100100111101…
…01101010111111000
31011021202011202122210
423102132231113320
5144311011400440
65322435215120
7606242333601
oct132236552770
934252152583
1012121200120
115160113067
1224234474a0
1311b22bba83
1482db6ada8
154ae211a80
hex2d27ad5f8

12121200120 has 64 divisors (see below), whose sum is σ = 36480637440. Its totient is φ = 3221916800.

The previous prime is 12121200103. The next prime is 12121200121. The reversal of 12121200120 is 2100212121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12121200096 and 12121200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121200121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125076 + ... + 199715.

It is an arithmetic number, because the mean of its divisors is an integer number (570009960).

Almost surely, 212121200120 is an apocalyptic number.

12121200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121200120 is an abundant number, since it is smaller than the sum of its proper divisors (24359437320).

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

12121200120 is a wasteful number, since it uses less digits than its factorization.

12121200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325116 (or 325112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121200120 its reverse (2100212121), we get a palindrome (14221412241).

The spelling of 12121200120 in words is "twelve billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 18660 37320 324791 649582 974373 1299164 1623955 1948746 2598328 3247910 3897492 4871865 6495820 7794984 9743730 12991640 19487460 38974920 101010001 202020002 303030003 404040004 505050005 606060006 808080008 1010100010 1212120012 1515150015 2020200020 2424240024 3030300030 4040400040 6060600060 12121200120