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120420202024021 = 291491319152313873
BaseRepresentation
bin11011011000010110000011…
…010111011000110001010101
3120210101001120221000120001011
4123120112003113120301111
5111240431033204232041
61104040135504332221
734236033602356324
oct3330260327306125
9523331527016034
10120420202024021
1135407a14770229
121160a2aa014071
135226765258283
1421a45242a60bb
15ddc6148c3e81
hex6d85835d8c55

120420202024021 has 32 divisors (see below), whose sum is σ = 125595217440000. Its totient is φ = 115315819465728.

The previous prime is 120420202024013. The next prime is 120420202024093.

120420202024021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 120420202024021 - 23 = 120420202024013 is a prime.

It is a super-2 number, since 2×1204202020240212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120420202023983 and 120420202024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120420202024121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8680177741 + ... + 8680191613.

It is an arithmetic number, because the mean of its divisors is an integer number (3924850545000).

Almost surely, 2120420202024021 is an apocalyptic number.

It is an amenable number.

120420202024021 is a deficient number, since it is larger than the sum of its proper divisors (5175015415979).

120420202024021 is a wasteful number, since it uses less digits than its factorization.

120420202024021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16893.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 12042020 and 2024021, that added together give a palindrome (14066041).

The spelling of 120420202024021 in words is "one hundred twenty trillion, four hundred twenty billion, two hundred two million, twenty-four thousand, twenty-one".

Divisors: 1 29 149 1319 1523 4321 13873 38251 44167 196531 226927 402317 2008837 2067077 5699399 6580883 18298487 21128579 58256273 59945233 299316713 530656123 612728791 2726474563 3148158271 8680184677 27868595701 79067762327 91296589859 808189275329 4152420759449 120420202024021