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120120021021 = 371113167239521
BaseRepresentation
bin110111111011110110…
…1100001000000011101
3102111001101000022101110
41233313231201000131
53432001211133041
6131103220532233
711451454221630
oct1576755410035
9374041008343
10120120021021
1146a40690750
121b343b51079
13b43401aa20
145b57269c17
1531d07b2516
hex1bf7b6101d

120120021021 has 64 divisors (see below), whose sum is σ = 216328605696. Its totient is φ = 57254860800.

The previous prime is 120120020953. The next prime is 120120021031.

120120021021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120120021021 - 210 = 120120019997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120120020988 and 120120021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120021031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381741 + ... + 621261.

It is an arithmetic number, because the mean of its divisors is an integer number (3380134464).

Almost surely, 2120120021021 is an apocalyptic number.

120120021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120120021021 is a deficient number, since it is larger than the sum of its proper divisors (96208584675).

120120021021 is a wasteful number, since it uses less digits than its factorization.

120120021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239722.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1201200 and 21021, that added together give a palindrome (1222221).

The spelling of 120120021021 in words is "one hundred twenty billion, one hundred twenty million, twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 167 231 273 429 501 1001 1169 1837 2171 3003 3507 5511 6513 12859 15197 23881 38577 45591 71643 167167 239521 501501 718563 1676647 2634731 3113773 5029941 7904193 9341319 18443117 21796411 34251503 40000007 55329351 65389233 102754509 120000021 239760521 280000049 440000077 520000091 719281563 840000147 1320000231 1560000273 3080000539 3640000637 5720001001 9240001617 10920001911 17160003003 40040007007 120120021021