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1200120211020 = 2235612237146581
BaseRepresentation
bin10001011101101100101…
…111010010011001001100
311020201201102220110111110
4101131230233102121030
5124130321233223040
62315154433052020
7152464045323333
oct21355457223114
94221642813443
101200120211020
11422a71632445
121747119b7010
138922b4869a3
144212c49ad1a
1521340533980
hex1176cbd264c

1200120211020 has 96 divisors (see below), whose sum is σ = 3416974174656. Its totient is φ = 314642764800.

The previous prime is 1200120211013. The next prime is 1200120211063. The reversal of 1200120211020 is 201120210021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200120210987 and 1200120211005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8114130 + ... + 8260710.

It is an arithmetic number, because the mean of its divisors is an integer number (35593480986).

Almost surely, 21200120211020 is an apocalyptic number.

1200120211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708487087328).

1200120211020 is an abundant number, since it is smaller than the sum of its proper divisors (2216853963636).

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

1200120211020 is a wasteful number, since it uses less digits than its factorization.

1200120211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148891 (or 148889 counting only the distinct ones).

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

Adding to 1200120211020 its reverse (201120210021), we get a palindrome (1401240421041).

Subtracting from 1200120211020 its reverse (201120210021), we obtain a palindrome (999000000999).

The spelling of 1200120211020 in words is "one trillion, two hundred billion, one hundred twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2237 3660 4474 6711 8948 11185 13422 22370 26844 33555 44740 67110 134220 136457 146581 272914 293162 409371 439743 545828 586324 682285 732905 818742 879486 1364570 1465810 1637484 1758972 2046855 2198715 2729140 2931620 4093710 4397430 8187420 8794860 8941441 17882882 26824323 35765764 44707205 53648646 89414410 107297292 134121615 178828820 268243230 327901697 536486460 655803394 983705091 1311606788 1639508485 1967410182 3279016970 3934820364 4918525455 6558033940 9837050910 19674101820 20002003517 40004007034 60006010551 80008014068 100010017585 120012021102 200020035170 240024042204 300030052755 400040070340 600060105510 1200120211020