120430414554201 has 24 divisors (see below), whose sum is σ = 174139351643400. Its totient is φ = 80201886725376.

The previous prime is 120430414554143. The next prime is 120430414554271. The reversal of 120430414554201 is 102455414034021.

120430414554201 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 30 + 41 + 45 + 542 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16717271432976 + 103713143121225 = 4088676^2 + 10183965^2 .

It is not a de Polignac number, because 120430414554201 - 2¹⁴ = 120430414537817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120430414554271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162481221 + ... + 163220733.

It is an arithmetic number, because the mean of its divisors is an integer number (7255806318475).

Almost surely, 2^{120430414554201} is an apocalyptic number.

It is an amenable number.

120430414554201 is a deficient number, since it is larger than the sum of its proper divisors (53708937089199).

120430414554201 is a wasteful number, since it uses less digits than its factorization.

120430414554201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758665 (or 758662 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 120430414554201 its reverse (102455414034021), we get a palindrome (222885828588222).

The spelling of 120430414554201 in words is "one hundred twenty trillion, four hundred thirty billion, four hundred fourteen million, five hundred fifty-four thousand, two hundred one".