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1221210101200 = 245217954731181
BaseRepresentation
bin10001110001010101110…
…010110101010111010000
311022202011020020220000011
4101301111302311113100
5130002014241214300
62333003254404304
7154141503405535
oct21612562652720
94282136226004
101221210101200
11430a042a1051
12178818960694
138b20c8b274b
144316d40cd8c
1521b76cd9eba
hex11c55cb55d0

1221210101200 has 120 divisors (see below), whose sum is σ = 2955836573280. Its totient is φ = 484851494400.

The previous prime is 1221210101191. The next prime is 1221210101201. The reversal of 1221210101200 is 21010121221.

It is a super-2 number, since 2×12212101012002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221210101201) 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, 39149610 + ... + 39180790.

It is an arithmetic number, because the mean of its divisors is an integer number (24631971444).

Almost surely, 21221210101200 is an apocalyptic number.

1221210101200 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 1221210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477918286640).

1221210101200 is an abundant number, since it is smaller than the sum of its proper divisors (1734626472080).

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

1221210101200 is a wasteful number, since it uses less digits than its factorization.

1221210101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31925 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221210101200 its reverse (21010121221), we get a palindrome (1242220222421).

It can be divided in two parts, 12 and 21210101200, that added together give a palindrome (21210101212).

The spelling of 1221210101200 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 547 716 895 1094 1432 1790 2188 2735 2864 3580 4376 4475 5470 7160 8752 8950 10940 13675 14320 17900 21880 27350 31181 35800 43760 54700 62362 71600 97913 109400 124724 155905 195826 218800 249448 311810 391652 489565 498896 623620 779525 783304 979130 1247240 1559050 1566608 1958260 2447825 2494480 3118100 3916520 4895650 5581399 6236200 7833040 9791300 11162798 12472400 17056007 19582600 22325596 27906995 34112014 39165200 44651192 55813990 68224028 85280035 89302384 111627980 136448056 139534975 170560070 223255960 272896112 279069950 341120140 426400175 446511920 558139900 682240280 852800350 1116279800 1364480560 1705600700 2232559600 3053025253 3411201400 6106050506 6822402800 12212101012 15265126265 24424202024 30530252530 48848404048 61060505060 76325631325 122121010120 152651262650 244242020240 305302525300 610605050600 1221210101200