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121442400024 = 23311460009091
BaseRepresentation
bin111000100011010000…
…1111111011100011000
3102121110112022010100120
41301012201333130120
53442203223300044
6131442340033240
711526312240201
oct1610641773430
9377415263316
10121442400024
114755a083660
121b652992820
13b5b4c8cbca
145c40b345a8
15325b923519
hex1c4687f718

121442400024 has 32 divisors (see below), whose sum is σ = 331206546240. Its totient is φ = 36800727200.

The previous prime is 121442400019. The next prime is 121442400029. The reversal of 121442400024 is 420004244121.

It is an interprime number because it is at equal distance from previous prime (121442400019) and next prime (121442400029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121442399967 and 121442400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121442400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230004282 + ... + 230004809.

It is an arithmetic number, because the mean of its divisors is an integer number (10350204570).

Almost surely, 2121442400024 is an apocalyptic number.

It is an amenable number.

121442400024 is an abundant number, since it is smaller than the sum of its proper divisors (209764146216).

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

121442400024 is a wasteful number, since it uses less digits than its factorization.

121442400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460009111 (or 460009107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121442400024 its reverse (420004244121), we get a palindrome (541446644145).

The spelling of 121442400024 in words is "one hundred twenty-one billion, four hundred forty-two million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 460009091 920018182 1380027273 1840036364 2760054546 3680072728 5060100001 5520109092 10120200002 11040218184 15180300003 20240400004 30360600006 40480800008 60721200012 121442400024