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121356144001 = 23431134792267
BaseRepresentation
bin111000100000101100…
…0111100110110000001
3102121020111222212100001
41301001120330312001
53442014133102001
6131430015200001
711524214130001
oct1610130746601
9377214885301
10121356144001
114751541a194
121b629b16001
13b5a014c141
145c334c0001
153254086001
hex1c4163cd81

121356144001 has 32 divisors (see below), whose sum is σ = 131054837760. Its totient is φ = 112092820224.

The previous prime is 121356143989. The next prime is 121356144017. The reversal of 121356144001 is 100441653121.

It is a cyclic number.

It is not a de Polignac number, because 121356144001 - 213 = 121356135809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121356144031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53530470 + ... + 53532736.

It is an arithmetic number, because the mean of its divisors is an integer number (4095463680).

Almost surely, 2121356144001 is an apocalyptic number.

It is an amenable number.

121356144001 is a deficient number, since it is larger than the sum of its proper divisors (9698693759).

121356144001 is a wasteful number, since it uses less digits than its factorization.

121356144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 121356144001 its reverse (100441653121), we get a palindrome (221797797122).

The spelling of 121356144001 in words is "one hundred twenty-one billion, three hundred fifty-six million, one hundred forty-four thousand, one".

Divisors: 1 23 43 113 479 989 2267 2599 4859 11017 20597 52141 54127 97481 111757 256171 473731 1085893 1244921 2242063 2327461 5891933 11015353 24975539 46693399 53531603 122705909 253353119 1073948177 2822235907 5276354087 121356144001