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122431124040 = 23351795699773
BaseRepresentation
bin111001000000101110…
…1101011001001001000
3102201000102202111201120
41302001131223021020
54001214331432130
6132124415515240
711562646245411
oct1620135531110
9381012674646
10122431124040
1147a171a5645
121b889b28b20
13b711a7c7c4
145cd6188808
1532b8628910
hex1c8176b248

122431124040 has 64 divisors (see below), whose sum is σ = 369345355200. Its totient is φ = 32465901312.

The previous prime is 122431124009. The next prime is 122431124041. The reversal of 122431124040 is 40421134221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122431124040.

It is not an unprimeable number, because it can be changed into a prime (122431124041) 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, 2828407 + ... + 2871366.

It is an arithmetic number, because the mean of its divisors is an integer number (5771021175).

Almost surely, 2122431124040 is an apocalyptic number.

122431124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122431124040 is an abundant number, since it is smaller than the sum of its proper divisors (246914231160).

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

122431124040 is a wasteful number, since it uses less digits than its factorization.

122431124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699966 (or 5699962 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122431124040 its reverse (40421134221), we get a palindrome (162852258261).

The spelling of 122431124040 in words is "one hundred twenty-two billion, four hundred thirty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 5699773 11399546 17099319 22799092 28498865 34198638 45598184 56997730 68397276 85496595 113995460 136794552 170993190 227990920 341986380 683972760 1020259367 2040518734 3060778101 4081037468 5101296835 6121556202 8162074936 10202593670 12243112404 15303890505 20405187340 24486224808 30607781010 40810374680 61215562020 122431124040