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120121213212 = 22327111323373917
BaseRepresentation
bin110111111011111001…
…0000100000100011100
3102111001110020212202200
41233313302010010130
53432002012310322
6131103302251500
711451500315460
oct1576762040434
9374043225680
10120121213212
1146a41325430
121b344426b90
13b434347570
145b5749a4a0
1531d094a8ac
hex1bf7c8411c

120121213212 has 576 divisors, whose sum is σ = 437018609664. Its totient is φ = 26796718080.

The previous prime is 120121213141. The next prime is 120121213339. The reversal of 120121213212 is 212312121021.

120121213212 is a `hidden beast` number, since 120 + 121 + 213 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30664678 + ... + 30668594.

It is an arithmetic number, because the mean of its divisors is an integer number (758712864).

Almost surely, 2120121213212 is an apocalyptic number.

120121213212 is a gapful number since it is divisible by the number (12) 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 120121213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218509304832).

120121213212 is an abundant number, since it is smaller than the sum of its proper divisors (316897396452).

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

120121213212 is a wasteful number, since it uses less digits than its factorization.

120121213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120121213212 its reverse (212312121021), we get a palindrome (332433334233).

It can be divided in two parts, 120121 and 213212, that added together give a palindrome (333333).

The spelling of 120121213212 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred twelve".