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1222631785440 = 253351356938261
BaseRepresentation
bin10001110010101010100…
…010001000001111100000
311022212211022101221011000
4101302222202020033200
5130012422214113230
62333400322152000
7154221645463542
oct21625242101740
94285738357130
101222631785440
114315738504aa
12178b54ab2600
138b3a82b4120
1443266167692
1521c0ba14b60
hex11caa8883e0

1222631785440 has 384 divisors, whose sum is σ = 4616601091200. Its totient is φ = 300418744320.

The previous prime is 1222631785387. The next prime is 1222631785469. The reversal of 1222631785440 is 445871362221.

1222631785440 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 6 + 31 + 78 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31935910 + ... + 31974170.

It is an arithmetic number, because the mean of its divisors is an integer number (12022398675).

Almost surely, 21222631785440 is an apocalyptic number.

1222631785440 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 1222631785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308300545600).

1222631785440 is an abundant number, since it is smaller than the sum of its proper divisors (3393969305760).

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

1222631785440 is a wasteful number, since it uses less digits than its factorization.

1222631785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38867 (or 38853 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1222631785440 in words is "one trillion, two hundred twenty-two billion, six hundred thirty-one million, seven hundred eighty-five thousand, four hundred forty".