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1201212000 = 25325361547
BaseRepresentation
bin100011110011001…
…0000101001100000
310002201021220002100
41013212100221200
54430002241000
6315110050400
741524063542
oct10746205140
93081256070
101201212000
1156706439a
12296349a00
13161b2a041
14b5767692
15706c9a00
hex47990a60

1201212000 has 288 divisors, whose sum is σ = 4340909664. Its totient is φ = 314496000.

The previous prime is 1201211971. The next prime is 1201212043. The reversal of 1201212000 is 2121021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2195727 + ... + 2196273.

It is an arithmetic number, because the mean of its divisors is an integer number (15072603).

Almost surely, 21201212000 is an apocalyptic number.

1201212000 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 1201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170454832).

1201212000 is an abundant number, since it is smaller than the sum of its proper divisors (3139697664).

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

1201212000 is a wasteful number, since it uses less digits than its factorization.

1201212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

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

The square root of 1201212000 is about 34658.5054496007. The cubic root of 1201212000 is about 1063.0162105220.

Adding to 1201212000 its reverse (2121021), we get a palindrome (1203333021).

The spelling of 1201212000 in words is "one billion, two hundred one million, two hundred twelve thousand".