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120221120100 = 22352977410171
BaseRepresentation
bin110111111110110111…
…1001011011001100100
3102111022102020200020210
41233331233023121210
53432203101320400
6131121231455420
711454122442264
oct1577557133144
9374272220223
10120221120100
1146a92762a04
121b371987570
13b44bc57873
145b668657a4
1531d95d2950
hex1bfdbcb664

120221120100 has 72 divisors (see below), whose sum is σ = 348196651488. Its totient is φ = 32026073600.

The previous prime is 120221120099. The next prime is 120221120101. The reversal of 120221120100 is 1021122021.

It is an interprime number because it is at equal distance from previous prime (120221120099) and next prime (120221120101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120221120101) 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, 88015 + ... + 498185.

It is an arithmetic number, because the mean of its divisors is an integer number (4836064604).

Almost surely, 2120221120100 is an apocalyptic number.

120221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221120100 is an abundant number, since it is smaller than the sum of its proper divisors (227975531388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120221120100 is a wasteful number, since it uses less digits than its factorization.

120221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411165 (or 411158 counting only the distinct ones).

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

Adding to 120221120100 its reverse (1021122021), we get a palindrome (121242242121).

The spelling of 120221120100 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 977 1954 2931 3908 4885 5862 9770 11724 14655 19540 24425 29310 48850 58620 73275 97700 146550 293100 410171 820342 1230513 1640684 2050855 2461026 4101710 4922052 6152565 8203420 10254275 12305130 20508550 24610260 30762825 41017100 61525650 123051300 400737067 801474134 1202211201 1602948268 2003685335 2404422402 4007370670 4808844804 6011056005 8014741340 10018426675 12022112010 20036853350 24044224020 30055280025 40073706700 60110560050 120221120100