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1201200000 = 2735571113
BaseRepresentation
bin100011110011000…
…1101101110000000
310002201021021121220
41013212031232000
54430001400000
6315105515040
741524013550
oct10746155600
93081237556
101201200000
11567056380
12296342a80
13161b24740
14b5763160
15706c61a0
hex4798db80

1201200000 has 768 divisors, whose sum is σ = 5354657280. Its totient is φ = 230400000.

The previous prime is 1201199963. The next prime is 1201200029. The reversal of 1201200000 is 21021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92399994 + ... + 92400006.

It is an arithmetic number, because the mean of its divisors is an integer number (6972210).

Almost surely, 21201200000 is an apocalyptic number.

1201200000 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 1201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677328640).

1201200000 is an abundant number, since it is smaller than the sum of its proper divisors (4153457280).

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

1201200000 is an equidigital number, since it uses as much as digits as its factorization.

1201200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1201200000 is about 34658.3323314899. The cubic root of 1201200000 is about 1063.0126706981.

Adding to 1201200000 its reverse (21021), we get a palindrome (1201221021).

It can be divided in two parts, 120 and 1200000, that multiplied together give a square (144000000 = 120002).

The spelling of 1201200000 in words is "one billion, two hundred one million, two hundred thousand".