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1221460225040 = 245117511848233
BaseRepresentation
bin10001110001100100101…
…100111110110000010000
311022202210122220111102002
4101301210230332300100
5130003022304200130
62333044151413132
7154150631414546
oct21614454766020
94282718814362
101221460225040
114310224a9870
121788886841a8
138b24c669613
144319471bd96
1521b8dc45b45
hex11c64b3ec10

1221460225040 has 80 divisors (see below), whose sum is σ = 3102194232576. Its totient is φ = 443575680000.

The previous prime is 1221460225031. The next prime is 1221460225043. The reversal of 1221460225040 is 405220641221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1221460224994 and 1221460225012.

It is not an unprimeable number, because it can be changed into a prime (1221460225043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263237 + ... + 1584996.

Almost surely, 21221460225040 is an apocalyptic number.

1221460225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221460225040 is an abundant number, since it is smaller than the sum of its proper divisors (1880734007536).

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

1221460225040 is a wasteful number, since it uses less digits than its factorization.

1221460225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849008 (or 1849002 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1221460225040 its reverse (405220641221), we get a palindrome (1626680866261).

The spelling of 1221460225040 in words is "one trillion, two hundred twenty-one billion, four hundred sixty million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 751 880 1502 3004 3755 6008 7510 8261 12016 15020 16522 30040 33044 41305 60080 66088 82610 132176 165220 330440 660880 1848233 3696466 7392932 9241165 14785864 18482330 20330563 29571728 36964660 40661126 73929320 81322252 101652815 147858640 162644504 203305630 325289008 406611260 813222520 1388022983 1626445040 2776045966 5552091932 6940114915 11104183864 13880229830 15268252813 22208367728 27760459660 30536505626 55520919320 61073011252 76341264065 111041838640 122146022504 152682528130 244292045008 305365056260 610730112520 1221460225040