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122041440440 = 2357955769337
BaseRepresentation
bin111000110101000111…
…1001001100010111000
3102200000021111112022122
41301222033021202320
53444420102043230
6132022015340412
711550205061543
oct1615217114270
9380007445278
10122041440440
1147837236587
121b79b521708
13b67c110aaa
145c9a50b85a
153294301be5
hex1c6a3c98b8

122041440440 has 64 divisors (see below), whose sum is σ = 278572348800. Its totient is φ = 48111418368.

The previous prime is 122041440431. The next prime is 122041440461. The reversal of 122041440440 is 44044140221.

122041440440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220414404402 (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, 1725452 + ... + 1794788.

It is an arithmetic number, because the mean of its divisors is an integer number (4352692950).

Almost surely, 2122041440440 is an apocalyptic number.

122041440440 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 122041440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139286174400).

122041440440 is an abundant number, since it is smaller than the sum of its proper divisors (156530908360).

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

122041440440 is a wasteful number, since it uses less digits than its factorization.

122041440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69984 (or 69980 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122041440440 its reverse (44044140221), we get a palindrome (166085580661).

The spelling of 122041440440 in words is "one hundred twenty-two billion, forty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 557 632 790 1114 1580 2228 2785 3160 4456 5570 11140 22280 44003 69337 88006 138674 176012 220015 277348 346685 352024 440030 554696 693370 880060 1386740 1760120 2773480 5477623 10955246 21910492 27388115 38620709 43820984 54776230 77241418 109552460 154482836 193103545 219104920 308965672 386207090 772414180 1544828360 3051036011 6102072022 12204144044 15255180055 24408288088 30510360110 61020720220 122041440440