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1120151102120 = 235317271242569
BaseRepresentation
bin10000010011001110001…
…101010110001010101000
310222002022020220211010022
4100103032031112022220
5121323032140231440
62214331301340012
7143633250161261
oct20231615261250
93862266824108
101120151102120
113a20651052a6
12161114407608
138182587963b
143c303883968
151e20eb17cb5
hex104ce3562a8

1120151102120 has 64 divisors (see below), whose sum is σ = 2605221964800. Its totient is φ = 433010096640.

The previous prime is 1120151102111. The next prime is 1120151102137. The reversal of 1120151102120 is 212011510211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280196 + ... + 1522764.

It is an arithmetic number, because the mean of its divisors is an integer number (40706593200).

Almost surely, 21120151102120 is an apocalyptic number.

1120151102120 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 1120151102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302610982400).

1120151102120 is an abundant number, since it is smaller than the sum of its proper divisors (1485070862680).

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

1120151102120 is a wasteful number, since it uses less digits than its factorization.

1120151102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243338 (or 1243334 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 1120151102120 its reverse (212011510211), we get a palindrome (1332162612331).

The spelling of 1120151102120 in words is "one trillion, one hundred twenty billion, one hundred fifty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 727 1240 1454 2908 3635 5816 7270 14540 22537 29080 45074 90148 112685 180296 225370 450740 901480 1242569 2485138 4970276 6212845 9940552 12425690 24851380 38519639 49702760 77039278 154078556 192598195 308157112 385196390 770392780 903347663 1540785560 1806695326 3613390652 4516738315 7226781304 9033476630 18066953260 28003777553 36133906520 56007555106 112015110212 140018887765 224030220424 280037775530 560075551060 1120151102120