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122111424440 = 23559122942101
BaseRepresentation
bin111000110111001101…
…0000111011110111000
3102200012011012002022122
41301232122013132320
54000041011040230
6132032555340412
711552014660535
oct1615632073670
9380164162278
10122111424440
11478727965a5
121b7baa51708
13b690775245
145ca5927d8c
15329a527be5
hex1c6e6877b8

122111424440 has 64 divisors (see below), whose sum is σ = 279641484000. Its totient is φ = 47976486400.

The previous prime is 122111424437. The next prime is 122111424469. The reversal of 122111424440 is 44424111221.

It is a super-2 number, since 2×1221114244402 (a number of 23 digits) contains 22 as substring.

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, 2879390 + ... + 2921490.

Almost surely, 2122111424440 is an apocalyptic number.

122111424440 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 122111424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139820742000).

122111424440 is an abundant number, since it is smaller than the sum of its proper divisors (157530059560).

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

122111424440 is a wasteful number, since it uses less digits than its factorization.

122111424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43400 (or 43396 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 122111424440 its reverse (44424111221), we get a palindrome (166535535661).

The spelling of 122111424440 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 1229 2360 2458 4916 6145 9832 12290 24580 42101 49160 72511 84202 145022 168404 210505 290044 336808 362555 421010 580088 725110 842020 1450220 1684040 2483959 2900440 4967918 9935836 12419795 19871672 24839590 49679180 51742129 99358360 103484258 206968516 258710645 413937032 517421290 1034842580 2069685160 3052785611 6105571222 12211142444 15263928055 24422284888 30527856110 61055712220 122111424440