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121001020220200 = 23527917431439349
BaseRepresentation
bin11011100000110010111110…
…110100111110001100101000
3120212102120210010221000102211
4123200302332310332030220
5111324440042134021300
61105203033514134504
734326015036521131
oct3340627664761450
9525376703830384
10121001020220200
113561127647369a
12116a2984a21434
135269468b920b3
1421c46a2ba8c88
15dec7aa7444ba
hex6e0cbed3e328

121001020220200 has 96 divisors (see below), whose sum is σ = 284905470240000. Its totient is φ = 47784894393600.

The previous prime is 121001020220177. The next prime is 121001020220203. The reversal of 121001020220200 is 2022020100121.

It is a happy number.

121001020220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121001020220203) 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, 275190126 + ... + 275629474.

It is an arithmetic number, because the mean of its divisors is an integer number (2967765315000).

Almost surely, 2121001020220200 is an apocalyptic number.

121001020220200 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 121001020220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142452735120000).

121001020220200 is an abundant number, since it is smaller than the sum of its proper divisors (163904450019800).

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

121001020220200 is a wasteful number, since it uses less digits than its factorization.

121001020220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456875 (or 456866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121001020220200 its reverse (2022020100121), we get a palindrome (123023040320321).

The spelling of 121001020220200 in words is "one hundred twenty-one trillion, one billion, twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 17431 34862 69724 87155 139448 174310 348620 435775 439349 697240 871550 878698 1377049 1743100 1757396 2196745 2754098 3486200 3514792 4393490 5508196 6885245 8786980 10983725 11016392 13770490 17573960 21967450 27540980 34426225 34708571 43934900 55081960 68852450 69417142 87869800 137704900 138834284 173542855 275409800 277668568 347085710 694171420 867714275 1388342840 1735428550 3470857100 6941714200 7658292419 15316584838 30633169676 38291462095 61266339352 76582924190 153165848380 191457310475 306331696760 382914620950 605005101101 765829241900 1210010202202 1531658483800 2420020404404 3025025505505 4840040808808 6050051011010 12100102022020 15125127527525 24200204044040 30250255055050 60500510110100 121001020220200