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120011021001 = 3229990146441
BaseRepresentation
bin110111111000100110…
…1101101101011001001
3102110202202220112110200
41233301031231223021
53431240310133001
6131044324402413
711445661563414
oct1576115555311
9373682815420
10120011021001
1146995102393
121b313546409
13b417575881
145b469b4b7b
1531c5e31086
hex1bf136dac9

120011021001 has 24 divisors (see below), whose sum is σ = 179348786760. Its totient is φ = 77239008000.

The previous prime is 120011020999. The next prime is 120011021003. The reversal of 120011021001 is 100120110021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120011020999) and next prime (120011021003).

It can be written as a sum of positive squares in 4 ways, for example, as 27487982025 + 92523038976 = 165795^2 + 304176^2 .

It is not a de Polignac number, because 120011021001 - 21 = 120011020999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120011021003) 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, 2560941 + ... + 2607381.

It is an arithmetic number, because the mean of its divisors is an integer number (7472866115).

Almost surely, 2120011021001 is an apocalyptic number.

It is an amenable number.

120011021001 is a deficient number, since it is larger than the sum of its proper divisors (59337765759).

120011021001 is a wasteful number, since it uses less digits than its factorization.

120011021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56377 (or 56374 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120011021001 its reverse (100120110021), we get a palindrome (220131131022).

The spelling of 120011021001 in words is "one hundred twenty billion, eleven million, twenty-one thousand, one".

Divisors: 1 3 9 29 87 261 9901 29703 46441 89109 139323 287129 417969 861387 1346789 2584161 4040367 12121101 459812341 1379437023 4138311069 13334557889 40003673667 120011021001