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121014331400 = 2352605071657
BaseRepresentation
bin111000010110100000…
…1000010100000001000
3102120100200210222121002
41300231001002200020
53440314132101100
6131332045034132
711512563562544
oct1605501024010
9376320728532
10121014331400
114735a487336
121b553555948
13b5473a1771
145bddd44a24
1532340682d5
hex1c2d042808

121014331400 has 24 divisors (see below), whose sum is σ = 281358320970. Its totient is φ = 48405732480.

The previous prime is 121014331357. The next prime is 121014331409. The reversal of 121014331400 is 4133410121.

It can be written as a sum of positive squares in 3 ways, for example, as 45359628484 + 75654702916 = 212978^2 + 275054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121014331409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 302535629 + ... + 302536028.

Almost surely, 2121014331400 is an apocalyptic number.

121014331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121014331400 is an abundant number, since it is smaller than the sum of its proper divisors (160343989570).

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

121014331400 is a wasteful number, since it uses less digits than its factorization.

121014331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605071673 (or 605071664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121014331400 its reverse (4133410121), we get a palindrome (125147741521).

The spelling of 121014331400 in words is "one hundred twenty-one billion, fourteen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 605071657 1210143314 2420286628 3025358285 4840573256 6050716570 12101433140 15126791425 24202866280 30253582850 60507165700 121014331400