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1012120200 = 23325271337167
BaseRepresentation
bin111100010100111…
…011101010001000
32121112111000220100
4330110323222020
54033100321300
6244233125400
734036610520
oct7424735210
92545430810
101012120200
1147a351983
12242b59860
131318c1ac0
14985c4680
155dcc7700
hex3c53ba88

1012120200 has 576 divisors, whose sum is σ = 4322223360. Its totient is φ = 206530560.

The previous prime is 1012120189. The next prime is 1012120201. The reversal of 1012120200 is 20212101.

1012120200 is digitally balanced in base 2, 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1012120201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6060517 + ... + 6060683.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

Almost surely, 21012120200 is an apocalyptic number.

1012120200 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 1012120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161111680).

1012120200 is an abundant number, since it is smaller than the sum of its proper divisors (3310103160).

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

1012120200 is a wasteful number, since it uses less digits than its factorization.

1012120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012120200 is about 31813.8366123924. The cubic root of 1012120200 is about 1004.0238535520.

Adding to 1012120200 its reverse (20212101), we get a palindrome (1032332301).

The spelling of 1012120200 in words is "one billion, twelve million, one hundred twenty thousand, two hundred".