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1212310000 = 245411103107
BaseRepresentation
bin100100001000010…
…0110000111110000
310010111011201200101
41020100212013300
54440322410000
6320144002144
742020315326
oct11020460760
93114151611
101212310000
115723544a0
1229a000354
131642145c5
14b7015d16
157166ce6a
hex484261f0

1212310000 has 200 divisors, whose sum is σ = 3263255424. Its totient is φ = 432480000.

The previous prime is 1212309979. The next prime is 1212310027. The reversal of 1212310000 is 132121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×12123100002 = 2939391072200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 11329947 + ... + 11330053.

Almost surely, 21212310000 is an apocalyptic number.

1212310000 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 1212310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631627712).

1212310000 is an abundant number, since it is smaller than the sum of its proper divisors (2050945424).

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

1212310000 is a wasteful number, since it uses less digits than its factorization.

1212310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1212310000 is about 34818.2423450696. The cubic root of 1212310000 is about 1066.2799162131.

Adding to 1212310000 its reverse (132121), we get a palindrome (1212442121).

The spelling of 1212310000 in words is "one billion, two hundred twelve million, three hundred ten thousand".