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121202144 = 2571992719
BaseRepresentation
bin1110011100101…
…10010111100000
322110001201002022
413032112113200
5222011432034
620005441012
73001126010
oct716262740
9273051068
10121202144
1162462a68
1234710168
131c15815b
141214dc40
15a991b2e
hex73965e0

121202144 has 48 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 51663744.

The previous prime is 121202131. The next prime is 121202171. The reversal of 121202144 is 441202121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43217 + ... + 45935.

It is an arithmetic number, because the mean of its divisors is an integer number (5712000).

Almost surely, 2121202144 is an apocalyptic number.

121202144 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 121202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

121202144 is an abundant number, since it is smaller than the sum of its proper divisors (152973856).

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

121202144 is a wasteful number, since it uses less digits than its factorization.

121202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 121202144 is about 11009.1845292919. The cubic root of 121202144 is about 494.8840241169.

Adding to 121202144 its reverse (441202121), we get a palindrome (562404265).

The spelling of 121202144 in words is "one hundred twenty-one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2719 2786 3184 5438 5572 6368 10876 11144 19033 21752 22288 38066 43504 44576 76132 87008 152264 304528 541081 609056 1082162 2164324 3787567 4328648 7575134 8657296 15150268 17314592 30300536 60601072 121202144