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1212430120400 = 2452191013157483
BaseRepresentation
bin10001101001001010011…
…101110111010111010000
311021220111100011122121002
4101221022131313113100
5124331024102323100
62324552133121132
7153411101661062
oct21511235672720
94256440148532
101212430120400
11428209216574
12176b884891a8
138a4408a8835
144297930b732
15218110be2d5
hex11a4a7775d0

1212430120400 has 120 divisors (see below), whose sum is σ = 3069218274720. Its totient is φ = 458990737920.

The previous prime is 1212430120379. The next prime is 1212430120411. The reversal of 1212430120400 is 40210342121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7620059 + ... + 7777541.

It is an arithmetic number, because the mean of its divisors is an integer number (25576818956).

Almost surely, 21212430120400 is an apocalyptic number.

1212430120400 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 1212430120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534609137360).

1212430120400 is an abundant number, since it is smaller than the sum of its proper divisors (1856788154320).

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

1212430120400 is a wasteful number, since it uses less digits than its factorization.

1212430120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158533 (or 158522 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1212430120400 its reverse (40210342121), we get a palindrome (1252640462521).

The spelling of 1212430120400 in words is "one trillion, two hundred twelve billion, four hundred thirty million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1013 1520 1900 2026 3800 4052 5065 7600 8104 10130 16208 19247 20260 25325 38494 40520 50650 76988 81040 96235 101300 153976 157483 192470 202600 307952 314966 384940 405200 481175 629932 769880 787415 962350 1259864 1539760 1574830 1924700 2519728 2992177 3149660 3849400 3937075 5984354 6299320 7698800 7874150 11968708 12598640 14960885 15748300 23937416 29921770 31496600 47874832 59843540 62993200 74804425 119687080 149608850 159530279 239374160 299217700 319060558 598435400 638121116 797651395 1196870800 1276242232 1595302790 2552484464 3031075301 3190605580 3988256975 6062150602 6381211160 7976513950 12124301204 12762422320 15155376505 15953027900 24248602408 30310753010 31906055800 48497204816 60621506020 63812111600 75776882525 121243012040 151553765050 242486024080 303107530100 606215060200 1212430120400