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121220064 = 2535717131
BaseRepresentation
bin1110011100110…
…10101111100000
322110002121200000
413032122233200
5222013020224
620010100000
73001232160
oct716325740
9273077600
10121220064
1162475479
123471a600
131c163364
14121565a0
15a9970c9
hex739abe0

121220064 has 288 divisors, whose sum is σ = 435891456. Its totient is φ = 32348160.

The previous prime is 121220041. The next prime is 121220069. The reversal of 121220064 is 460022121.

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

It is a super-3 number, since 3×1212200643 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925279 + ... + 925409.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2121220064 is an apocalyptic number.

121220064 is a gapful number since it is divisible by the number (14) 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 121220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

121220064 is an abundant number, since it is smaller than the sum of its proper divisors (314671392).

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

121220064 is a wasteful number, since it uses less digits than its factorization.

121220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121220064 is about 11009.9983651225. The cubic root of 121220064 is about 494.9084128072.

Adding to 121220064 its reverse (460022121), we get a palindrome (581242185).

The spelling of 121220064 in words is "one hundred twenty-one million, two hundred twenty thousand, sixty-four".