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120211131220 = 225101281211781
BaseRepresentation
bin110111111110100100…
…1000100101101010100
3102111021201110012002021
41233331021010231110
53432143022144340
6131120233422524
711453641520215
oct1577511045524
9374251405067
10120211131220
1146a88060134
121b36a56aa44
13b449b6b09b
145b653c540c
1531d87ace4a
hex1bfd244b54

120211131220 has 48 divisors (see below), whose sum is σ = 255851292816. Its totient is φ = 47438720000.

The previous prime is 120211131197. The next prime is 120211131233. The reversal of 120211131220 is 22131112021.

It can be written as a sum of positive squares in 8 ways, for example, as 6418252996 + 113792878224 = 80114^2 + 337332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120211131194 and 120211131203.

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, 461730 + ... + 673510.

It is an arithmetic number, because the mean of its divisors is an integer number (5330235267).

Almost surely, 2120211131220 is an apocalyptic number.

120211131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211131220 is an abundant number, since it is smaller than the sum of its proper divisors (135640161596).

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

120211131220 is a wasteful number, since it uses less digits than its factorization.

120211131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212172 (or 212170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120211131220 its reverse (22131112021), we get a palindrome (142342243241).

The spelling of 120211131220 in words is "one hundred twenty billion, two hundred eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 281 404 505 562 1010 1124 1405 2020 2810 5620 28381 56762 113524 141905 211781 283810 423562 567620 847124 1058905 2117810 4235620 21389881 42779762 59510461 85559524 106949405 119020922 213898810 238041844 297552305 427797620 595104610 1190209220 6010556561 12021113122 24042226244 30052782805 60105565610 120211131220