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2120211202120 = 2351110147709523
BaseRepresentation
bin11110110110100110011…
…011111000000001001000
321111200122011102122022021
4132312212123320001020
5234214143031431440
64302002300134224
7306115544602054
oct36664633700110
97450564378267
102120211202120
117481a3a4a210
122a2ab2537374
13124c204287bb
1474893c92c64
153a2417a184a
hex1eda66f8048

2120211202120 has 64 divisors (see below), whose sum is σ = 5255681163840. Its totient is φ = 763352352000.

The previous prime is 2120211202117. The next prime is 2120211202129. The reversal of 2120211202120 is 212021120212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120211202094 and 2120211202103.

It is not an unprimeable number, because it can be changed into a prime (2120211202129) 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, 23810322 + ... + 23899201.

It is an arithmetic number, because the mean of its divisors is an integer number (82120018185).

Almost surely, 22120211202120 is an apocalyptic number.

2120211202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120211202120 is an abundant number, since it is smaller than the sum of its proper divisors (3135469961720).

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

2120211202120 is a wasteful number, since it uses less digits than its factorization.

2120211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47709646 (or 47709642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2120211202120 its reverse (212021120212), we get a palindrome (2332232322332).

It can be divided in two parts, 212021 and 1202120, that added together give a palindrome (1414141).

The spelling of 2120211202120 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 47709523 95419046 190838092 238547615 381676184 477095230 524804753 954190460 1049609506 1908380920 2099219012 2624023765 4198438024 4818661823 5248047530 9637323646 10496095060 19274647292 20992190120 24093309115 38549294584 48186618230 53005280053 96373236460 106010560106 192746472920 212021120212 265026400265 424042240424 530052800530 1060105601060 2120211202120