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1225112153040 = 243251701544657
BaseRepresentation
bin10001110100111110010…
…111111110101111010000
311100010020011122122211200
4101310332113332233100
5130033012202344130
62334450405111200
7154340264324136
oct21647627765720
94303204578750
101225112153040
11432626965386
121795276b8500
138b6b212b569
144341d747756
1521d04663760
hex11d3e5febd0

1225112153040 has 60 divisors (see below), whose sum is σ = 4114334983044. Its totient is φ = 326696573952.

The previous prime is 1225112152969. The next prime is 1225112153051. The reversal of 1225112153040 is 403512115221.

It is a happy number.

1225112153040 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 121 + 530 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137154678336 + 1087957474704 = 370344^2 + 1043052^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 1225112152995 and 1225112153013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850771609 + ... + 850773048.

Almost surely, 21225112153040 is an apocalyptic number.

1225112153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225112153040 is an abundant number, since it is smaller than the sum of its proper divisors (2889222830004).

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

1225112153040 is a wasteful number, since it uses less digits than its factorization.

1225112153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701544676 (or 1701544667 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1225112153040 its reverse (403512115221), we get a palindrome (1628624268261).

The spelling of 1225112153040 in words is "one trillion, two hundred twenty-five billion, one hundred twelve million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1701544657 3403089314 5104633971 6806178628 8507723285 10209267942 13612357256 15313901913 17015446570 20418535884 25523169855 27224714512 30627803826 34030893140 40837071768 51046339710 61255607652 68061786280 76569509565 81674143536 102092679420 122511215304 136123572560 153139019130 204185358840 245022430608 306278038260 408370717680 612556076520 1225112153040