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1200012020120 = 2351797111511579
BaseRepresentation
bin10001011101100110010…
…010100100100110011000
311020201102220022210111002
4101131212102210212120
5124130111034120440
62315140010124132
7152461262605064
oct21354622444630
94221386283432
101200012020120
11422a16556a81
121746a1720648
1389211c35bc4
144211bd76aa4
1521335cb2115
hex117664a4998

1200012020120 has 128 divisors (see below), whose sum is σ = 2866096742400. Its totient is φ = 450626304000.

The previous prime is 1200012020101. The next prime is 1200012020131. The reversal of 1200012020120 is 210202100021.

It is a happy number.

It is a congruent number.

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, 759981491 + ... + 759983069.

It is an arithmetic number, because the mean of its divisors is an integer number (22391380800).

Almost surely, 21200012020120 is an apocalyptic number.

1200012020120 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 1200012020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433048371200).

1200012020120 is an abundant number, since it is smaller than the sum of its proper divisors (1666084722280).

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

1200012020120 is a wasteful number, since it uses less digits than its factorization.

1200012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200012020120 its reverse (210202100021), we get a palindrome (1410214120141).

The spelling of 1200012020120 in words is "one trillion, two hundred billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 971 1151 1579 1942 2302 3158 3884 4604 4855 5755 6316 7768 7895 9208 9710 11510 12632 15790 16507 19420 19567 23020 26843 31580 33014 38840 39134 46040 53686 63160 66028 78268 82535 97835 107372 132056 134215 156536 165070 195670 214744 268430 330140 391340 536860 660280 782680 1073720 1117621 1533209 1817429 2235242 3066418 3634858 4470484 5588105 6132836 7269716 7666045 8940968 9087145 11176210 12265672 14539432 15332090 18174290 18999557 22352420 26064553 30664180 30896293 36348580 37999114 44704840 52129106 61328360 61792586 72697160 75998228 94997785 104258212 123585172 130322765 151996456 154481465 189995570 208516424 247170344 260645530 308962930 379991140 521291060 617925860 759982280 1042582120 1235851720 1764723559 3529447118 7058894236 8823617795 14117788472 17647235590 30000300503 35294471180 60000601006 70588942360 120001202012 150001502515 240002404024 300003005030 600006010060 1200012020120