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120120021111020 = 22573833557629803
BaseRepresentation
bin11011010011111110011111…
…001100000101000011101100
3120202022100202210200012022112
4123103332133030011003230
5111221021300401023040
61103250213105503152
734205246046613550
oct3323763714050354
9522270683605275
10120120021111020
1135301684438357
1211580094041ab8
135204366ac6068
142193ba910d860
15dd48e63cb365
hex6d3f9f3050ec

120120021111020 has 96 divisors (see below), whose sum is σ = 289122479751168. Its totient is φ = 41064863922432.

The previous prime is 120120021110981. The next prime is 120120021111023. The reversal of 120120021111020 is 20111120021021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120120021110986 and 120120021111004.

It is not an unprimeable number, because it can be changed into a prime (120120021111023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190411439 + ... + 191041241.

It is an arithmetic number, because the mean of its divisors is an integer number (3011692497408).

Almost surely, 2120120021111020 is an apocalyptic number.

120120021111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120021111020 is an abundant number, since it is smaller than the sum of its proper divisors (169002458640148).

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

120120021111020 is a wasteful number, since it uses less digits than its factorization.

120120021111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633759 (or 633757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120120021111020 its reverse (20111120021021), we get a palindrome (140231141132041).

The spelling of 120120021111020 in words is "one hundred twenty trillion, one hundred twenty billion, twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 383 766 1532 1915 2681 3557 3830 5362 7114 7660 10724 13405 14228 17785 24899 26810 35570 49798 53620 71140 99596 124495 248990 497980 629803 1259606 1362331 2519212 2724662 3149015 4408621 5449324 6298030 6811655 8817242 9536317 12596060 13623310 17634484 19072634 22043105 27246620 38145268 44086210 47681585 88172420 95363170 190726340 241214549 482429098 964858196 1206072745 1688501843 2240209271 2412145490 3377003686 4480418542 4824290980 6754007372 8442509215 8960837084 11201046355 15681464897 16885018430 22402092710 31362929794 33770036860 44804185420 62725859588 78407324485 156814648970 313629297940 858000150793 1716000301586 3432000603172 4290000753965 6006001055551 8580001507930 12012002111102 17160003015860 24024004222204 30030005277755 60060010555510 120120021111020