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1142212303120 = 245712311656917
BaseRepresentation
bin10000100111110001001…
…010001001100100010000
311001012020201221221120211
4100213301022021210100
5122203222322144440
62232420341413504
7145344041245450
oct20476112114420
94035221857524
101142212303120
11400456082119
1216545070a294
13839302a9125
143d3d77d5d60
151eaa17d4eea
hex109f1289910

1142212303120 has 80 divisors (see below), whose sum is σ = 3037488588288. Its totient is φ = 391297282560.

The previous prime is 1142212303087. The next prime is 1142212303123. The reversal of 1142212303120 is 213032122411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1142212303091 and 1142212303100.

It is not an unprimeable number, because it can be changed into a prime (1142212303123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139099 + ... + 1517818.

Almost surely, 21142212303120 is an apocalyptic number.

1142212303120 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 1142212303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518744294144).

1142212303120 is an abundant number, since it is smaller than the sum of its proper divisors (1895276285168).

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

1142212303120 is a wasteful number, since it uses less digits than its factorization.

1142212303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658168 (or 1658162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1142212303120 its reverse (213032122411), we get a palindrome (1355244425531).

The spelling of 1142212303120 in words is "one trillion, one hundred forty-two billion, two hundred twelve million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1231 2462 4924 6155 8617 9848 12310 17234 19696 24620 34468 43085 49240 68936 86170 98480 137872 172340 344680 689360 1656917 3313834 6627668 8284585 11598419 13255336 16569170 23196838 26510672 33138340 46393676 57992095 66276680 92787352 115984190 132553360 185574704 231968380 463936760 927873520 2039664827 4079329654 8158659308 10198324135 14277653789 16317318616 20396648270 28555307578 32634637232 40793296540 57110615156 71388268945 81586593080 114221230312 142776537890 163173186160 228442460624 285553075780 571106151560 1142212303120