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1200401400 = 2335211239761
BaseRepresentation
bin100011110001100…
…1010101111111000
310002122202201011010
41013203022233320
54424300321100
6315040433520
741514146352
oct10743125770
93078681133
101200401400
11566660380
122960188a0
131619050b3
14b55d60d2
15705b9750
hex478cabf8

1200401400 has 192 divisors, whose sum is σ = 4081881600. Its totient is φ = 289408000.

The previous prime is 1200401381. The next prime is 1200401401. The reversal of 1200401400 is 41040021.

It is a super-2 number, since 2×12004014002 = 2881927042243920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200401401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577020 + ... + 1577780.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 21200401400 is an apocalyptic number.

1200401400 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 1200401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040940800).

1200401400 is an abundant number, since it is smaller than the sum of its proper divisors (2881480200).

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

1200401400 is a wasteful number, since it uses less digits than its factorization.

1200401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1200401400 is about 34646.8093769109. The cubic root of 1200401400 is about 1062.7770424043. Note that the first 3 decimals are identical.

Adding to 1200401400 its reverse (41040021), we get a palindrome (1241441421).

The spelling of 1200401400 in words is "one billion, two hundred million, four hundred one thousand, four hundred".