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120000211221220 = 225112432398635591
BaseRepresentation
bin11011010010001110111001…
…111101100111101011100100
3120201212220112001020011222121
4123102032321331213223210
5111212040413033034340
61103115200324035324
734163505046425361
oct3322167175475344
9521786461204877
10120000211221220
1135265892920900
1211560a17b32b44
1351c5c82112645
14218c081133468
15dd1732e7994a
hex6d23b9f67ae4

120000211221220 has 288 divisors, whose sum is σ = 285000587182080. Its totient is φ = 42386542598400.

The previous prime is 120000211221199. The next prime is 120000211221269. The reversal of 120000211221220 is 22122112000021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120000211221194 and 120000211221203.

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, 21463100625 + ... + 21463106215.

It is an arithmetic number, because the mean of its divisors is an integer number (989585372160).

Almost surely, 2120000211221220 is an apocalyptic number.

120000211221220 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 120000211221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142500293591040).

120000211221220 is an abundant number, since it is smaller than the sum of its proper divisors (165000375960860).

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

120000211221220 is a wasteful number, since it uses less digits than its factorization.

120000211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6754 counting only the distinct ones).

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

Adding to 120000211221220 its reverse (22122112000021), we get a palindrome (142122323221241).

The spelling of 120000211221220 in words is "one hundred twenty trillion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".