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212332845120 = 263511171182781
BaseRepresentation
bin1100010111000000000…
…1100001100001000000
3202022001211201010111220
43011300001201201000
511434324202020440
6241313325435040
721224543255454
oct3056001414100
9668054633456
10212332845120
11820603a0290
1235199a0ba80
131703b411776
14a3c3dc2664
1557cb0408d0
hex3170061840

212332845120 has 224 divisors, whose sum is σ = 778705819776. Its totient is φ = 48446668800.

The previous prime is 212332845083. The next prime is 212332845133. The reversal of 212332845120 is 21548233212.

212332845120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411871 + ... + 770910.

Almost surely, 2212332845120 is an apocalyptic number.

212332845120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212332845120 is an abundant number, since it is smaller than the sum of its proper divisors (566372974656).

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

212332845120 is a wasteful number, since it uses less digits than its factorization.

212332845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182829 (or 1182819 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 212332845120 in words is "two hundred twelve billion, three hundred thirty-two million, eight hundred forty-five thousand, one hundred twenty".