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1222141034100 = 2235272340996173
BaseRepresentation
bin10001110010001101010…
…010000011111001110100
311022211120002222011212110
4101302031102003321310
5130010421101042400
62333235511451020
7154203536246610
oct21621522037164
94284502864773
101222141034100
11431341830788
12178a38686a70
138b32a71990c
144321acdc340
1521bcd8c6e50
hex11c8d483e74

1222141034100 has 288 divisors, whose sum is σ = 4218629990400. Its totient is φ = 267092559360.

The previous prime is 1222141034087. The next prime is 1222141034113. The reversal of 1222141034100 is 14301412221.

It is an interprime number because it is at equal distance from previous prime (1222141034087) and next prime (1222141034113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197978614 + ... + 197984786.

It is an arithmetic number, because the mean of its divisors is an integer number (14648020800).

Almost surely, 21222141034100 is an apocalyptic number.

1222141034100 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 1222141034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109314995200).

1222141034100 is an abundant number, since it is smaller than the sum of its proper divisors (2996488956300).

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

1222141034100 is a wasteful number, since it uses less digits than its factorization.

1222141034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1222141034100 its reverse (14301412221), we get a palindrome (1236442446321).

The spelling of 1222141034100 in words is "one trillion, two hundred twenty-two billion, one hundred forty-one million, thirty-four thousand, one hundred".