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1222221020120 = 2353112718674157
BaseRepresentation
bin10001110010010010000…
…011001011101111011000
311022211202200110220001122
4101302102003023233120
5130011102040120440
62333251450104412
7154205530154162
oct21622203135730
94284680426048
101222221020120
114313829a2431
12178a5b41b108
138b341173819
144322779d932
1521bd59267b5
hex11c920cbbd8

1222221020120 has 128 divisors (see below), whose sum is σ = 2863279964160. Its totient is φ = 469028206080.

The previous prime is 1222221020117. The next prime is 1222221020123. The reversal of 1222221020120 is 210201222221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1222221020117) and next prime (1222221020123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222221020123) 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 31 ways as a sum of consecutive naturals, for example, 294013082 + ... + 294017238.

It is an arithmetic number, because the mean of its divisors is an integer number (22369374720).

Almost surely, 21222221020120 is an apocalyptic number.

1222221020120 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 1222221020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431639982080).

1222221020120 is an abundant number, since it is smaller than the sum of its proper divisors (1641058944040).

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

1222221020120 is a wasteful number, since it uses less digits than its factorization.

1222221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1222221020120 its reverse (210201222221), we get a palindrome (1432422242341).

The spelling of 1222221020120 in words is "one trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 620 635 1016 1240 1270 1867 2540 3734 3937 4157 5080 7468 7874 8314 9335 14936 15748 16628 18670 19685 20785 31496 33256 37340 39370 41570 57877 74680 78740 83140 115754 128867 157480 166280 231508 237109 257734 289385 463016 474218 515468 527939 578770 644335 948436 1030936 1055878 1157540 1185545 1288670 1896872 2111756 2315080 2371090 2577340 2639695 4223512 4742180 5154680 5279390 7350379 7761119 9484360 10558780 14700758 15522238 16366109 21117560 29401516 31044476 32732218 36751895 38805595 58803032 62088952 65464436 73503790 77611190 81830545 130928872 147007580 155222380 163661090 240594689 294015160 310444760 327322180 481189378 654644360 962378756 985662113 1202973445 1924757512 1971324226 2405946890 3942648452 4811893780 4928310565 7885296904 9623787560 9856621130 19713242260 30555525503 39426484520 61111051006 122222102012 152777627515 244444204024 305555255030 611110510060 1222221020120