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120212222220 = 223253141975417
BaseRepresentation
bin110111111110100110…
…1001111000100001100
3102111021210111121122200
41233331031033010030
53432143312102340
6131120313041500
711453654013036
oct1577515170414
9374253447580
10120212222220
1146a88735892
121b36a9b6290
13b44a16084c
145b655cac56
1531d8926330
hex1bfd34f10c

120212222220 has 288 divisors, whose sum is σ = 389634126336. Its totient is φ = 29948313600.

The previous prime is 120212222201. The next prime is 120212222239. The reversal of 120212222220 is 22222212021.

120212222220 is a `hidden beast` number, since 12 + 0 + 212 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (120212222201) and next prime (120212222239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212222193 and 120212222202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22188952 + ... + 22194368.

It is an arithmetic number, because the mean of its divisors is an integer number (1352896272).

Almost surely, 2120212222220 is an apocalyptic number.

120212222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194817063168).

120212222220 is an abundant number, since it is smaller than the sum of its proper divisors (269421904116).

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

120212222220 is a wasteful number, since it uses less digits than its factorization.

120212222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120212222220 its reverse (22222212021), we get a palindrome (142434434241).

The spelling of 120212222220 in words is "one hundred twenty billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty".