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1211302212200 = 235229320365203
BaseRepresentation
bin10001101000000111001…
…111001111001001101000
311021210120201210222102022
4101220013033033021220
5124321221331242300
62324244202124012
7153341124631013
oct21500717171150
94253521728368
101211302212200
1142778a57a433
121769127b0608
138a2c1006032
14428ad5c637a
1521797074285
hex11a073cf268

1211302212200 has 96 divisors (see below), whose sum is σ = 2914344943200. Its totient is φ = 467660040960.

The previous prime is 1211302212193. The next prime is 1211302212203. The reversal of 1211302212200 is 22122031121.

It is a super-2 number, since 2×12113022122002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211302212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18544799 + ... + 18610001.

It is an arithmetic number, because the mean of its divisors is an integer number (30357759825).

Almost surely, 21211302212200 is an apocalyptic number.

1211302212200 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 1211302212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457172471600).

1211302212200 is an abundant number, since it is smaller than the sum of its proper divisors (1703042731000).

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

1211302212200 is a wasteful number, since it uses less digits than its factorization.

1211302212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68451 (or 68442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1211302212200 its reverse (22122031121), we get a palindrome (1233424243321).

The spelling of 1211302212200 in words is "one trillion, two hundred eleven billion, three hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3203 5800 6406 12812 16015 25624 32030 64060 65203 80075 92887 128120 130406 160150 185774 260812 320300 326015 371548 464435 521624 640600 652030 743096 928870 1304060 1630075 1857740 1890887 2322175 2608120 3260150 3715480 3781774 4644350 6520300 7563548 9288700 9454435 13040600 15127096 18577400 18908870 37817740 47272175 75635480 94544350 189088700 208845209 378177400 417690418 835380836 1044226045 1670761672 2088452090 4176904180 5221130225 6056511061 8353808360 10442260450 12113022122 20884520900 24226044244 30282555305 41769041800 48452088488 60565110610 121130221220 151412776525 242260442440 302825553050 605651106100 1211302212200