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1122401234432 = 2927720813803
BaseRepresentation
bin10000010101010100010…
…100111010111000000000
310222022010001221101101002
4100111110110322320000
5121342134204000212
62215342441431132
7144043102035632
oct20252424727000
93868101841332
101122401234432
113a300a265a85
12161641a9b4a8
1381ac3ab168a
143c478650a52
151e2e2438ac2
hex1055453ae00

1122401234432 has 80 divisors (see below), whose sum is σ = 2252380003632. Its totient is φ = 558758952960.

The previous prime is 1122401234417. The next prime is 1122401234491. The reversal of 1122401234432 is 2344321042211.

It is a junction number, because it is equal to n+sod(n) for n = 1122401234395 and 1122401234404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295133843 + ... + 295137645.

Almost surely, 21122401234432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122401234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126190001816).

1122401234432 is an abundant number, since it is smaller than the sum of its proper divisors (1129978769200).

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

1122401234432 is an equidigital number, since it uses as much as digits as its factorization.

1122401234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1122401234432 its reverse (2344321042211), we get a palindrome (3466722276643).

The spelling of 1122401234432 in words is "one trillion, one hundred twenty-two billion, four hundred one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1108 2081 2216 3803 4162 4432 7606 8324 8864 15212 16648 17728 30424 33296 35456 60848 66592 70912 121696 133184 141824 243392 266368 486784 532736 576437 973568 1053431 1065472 1152874 1947136 2106862 2305748 4213724 4611496 7914043 8427448 9222992 15828086 16854896 18445984 31656172 33709792 36891968 63312344 67419584 73783936 126624688 134839168 147567872 253249376 269678336 295135744 506498752 539356672 1012997504 2025995008 2192189911 4051990016 4384379822 8768759644 17537519288 35075038576 70150077152 140300154304 280600308608 561200617216 1122401234432