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122142444430420 = 2251572111021180563
BaseRepresentation
bin11011110001011010000001…
…000000110010010001010100
3121000110200222221221200210201
4123301122001000302101110
5112002140211233233140
61111435244144230244
734504333431314641
oct3361320100622124
9530420887850721
10122142444430420
1135a113576a7967
121184803560b384
13531cca1ac6c5b
142223a23a54dc8
15e1c312c5549a
hex6f1681032454

122142444430420 has 96 divisors (see below), whose sum is σ = 259611723939456. Its totient is φ = 48268122739200.

The previous prime is 122142444430403. The next prime is 122142444430427. The reversal of 122142444430420 is 24034444241221.

It is a self number, because there is not a number n which added to its sum of digits gives 122142444430420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142444430427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676363059 + ... + 676543621.

It is an arithmetic number, because the mean of its divisors is an integer number (2704288791036).

Almost surely, 2122142444430420 is an apocalyptic number.

122142444430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142444430420 is an abundant number, since it is smaller than the sum of its proper divisors (137469279509036).

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

122142444430420 is a wasteful number, since it uses less digits than its factorization.

122142444430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181961 (or 181959 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 122142444430420 its reverse (24034444241221), we get a palindrome (146176888671641).

The spelling of 122142444430420 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred forty-four million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 157 211 314 422 628 785 844 1021 1055 1570 2042 2110 3140 4084 4220 5105 10210 20420 33127 66254 132508 160297 165635 180563 215431 320594 331270 361126 430862 641188 662540 722252 801485 861724 902815 1077155 1602970 1805630 2154310 3205940 3611260 4308620 28348391 33822667 38098793 56696782 67645334 76197586 113393564 135290668 141741955 152395172 169113335 184354823 190493965 283483910 338226670 368709646 380987930 566967820 676453340 737419292 761975860 921774115 1843548230 3687096460 5981510501 11963021002 23926042004 28943707211 29907552505 38898867653 57887414422 59815105010 77797735306 115774828844 119630210020 144718536055 155595470612 194494338265 289437072110 388988676530 578874144220 777977353060 6107122221521 12214244443042 24428488886084 30535611107605 61071222215210 122142444430420