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121120121232 = 243311472272389
BaseRepresentation
bin111000011001101010…
…0100110000110010000
3102120122001212122222000
41300303110212012100
53441023222334412
6131350344314000
711515320020655
oct1606324460620
9376561778860
10121120121232
1147404172850
121b582a72900
13b5632916b6
145c10001c2c
15323d4b34dc
hex1c33526190

121120121232 has 320 divisors, whose sum is σ = 389203660800. Its totient is φ = 35748933120.

The previous prime is 121120121231. The next prime is 121120121263. The reversal of 121120121232 is 232121021121.

121120121232 is a `hidden beast` number, since 1 + 211 + 201 + 21 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121120121231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50697894 + ... + 50700282.

It is an arithmetic number, because the mean of its divisors is an integer number (1216261440).

Almost surely, 2121120121232 is an apocalyptic number.

121120121232 is a gapful number since it is divisible by the number (12) 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 121120121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194601830400).

121120121232 is an abundant number, since it is smaller than the sum of its proper divisors (268083539568).

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

121120121232 is a wasteful number, since it uses less digits than its factorization.

121120121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121120121232 its reverse (232121021121), we get a palindrome (353241142353).

The spelling of 121120121232 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, two hundred thirty-two".