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211120211211220 = 225281239291569889
BaseRepresentation
bin110000000000001101000001…
…001100011011001111010100
31000200111220011111212222201001
4300000031001030123033110
5210132443143032224340
62025003141444313044
762316634434113533
oct6000150114331724
91020456144788631
10211120211211220
11612a6640377503
121b8186176a2784
1390a572057b53c
143a1c3b65a231a
151961ac402029a
hexc0034131b3d4

211120211211220 has 48 divisors (see below), whose sum is σ = 444949087438800. Its totient is φ = 84143987343360.

The previous prime is 211120211211191. The next prime is 211120211211233. The reversal of 211120211211220 is 22112112021112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 114721754436 + 211005489456784 = 338706^2 + 14526028^2 .

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, 133696036 + ... + 135265924.

It is an arithmetic number, because the mean of its divisors is an integer number (9269772654975).

Almost surely, 2211120211211220 is an apocalyptic number.

211120211211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120211211220 is an abundant number, since it is smaller than the sum of its proper divisors (233828876227580).

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

211120211211220 is a wasteful number, since it uses less digits than its factorization.

211120211211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594108 (or 1594106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211120211211220 its reverse (22112112021112), we get a palindrome (233232323232332).

The spelling of 211120211211220 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 23929 47858 95716 119645 239290 478580 1569889 3139778 6279556 6724049 7849445 13448098 15698890 26896196 31397780 33620245 67240490 134480980 441138809 882277618 1764555236 2205694045 4411388090 8822776180 37565873881 75131747762 150263495524 187829369405 375658738810 751317477620 10556010560561 21112021121122 42224042242244 52780052802805 105560105605610 211120211211220