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1144201112120 = 2351123113063351
BaseRepresentation
bin10000101001100111101…
…100110110101000111000
311001101101100020220122102
4100221213230312220320
5122221310441041440
62233345544442532
7145444240660433
oct20514754665070
94041340226572
101144201112120
11401286775820
12165906779448
1383b893357a1
143d5459ba81a
151eb6b1d6b15
hex10a67b36a38

1144201112120 has 64 divisors (see below), whose sum is σ = 2930602083840. Its totient is φ = 397982992000.

The previous prime is 1144201112063. The next prime is 1144201112179. The reversal of 1144201112120 is 212111024411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1144201112092 and 1144201112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56521556 + ... + 56541795.

It is an arithmetic number, because the mean of its divisors is an integer number (45790657560).

Almost surely, 21144201112120 is an apocalyptic number.

1144201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144201112120 is an abundant number, since it is smaller than the sum of its proper divisors (1786400971720).

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

1144201112120 is a wasteful number, since it uses less digits than its factorization.

1144201112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113063396 (or 113063392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1144201112120 its reverse (212111024411), we get a palindrome (1356312136531).

The spelling of 1144201112120 in words is "one trillion, one hundred forty-four billion, two hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 113063351 226126702 452253404 565316755 904506808 1130633510 1243696861 2261267020 2487393722 2600457073 4522534040 4974787444 5200914146 6218484305 9949574888 10401828292 12436968610 13002285365 20803656584 24873937220 26004570730 28605027803 49747874440 52009141460 57210055606 104018282920 114420111212 143025139015 228840222424 286050278030 572100556060 1144201112120