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1221020413440 = 2935158987033
BaseRepresentation
bin10001110001001010011…
…111001110111000000000
311022201200000022202022120
4101301022133032320000
5130001122211212230
62332532401004240
7154134011161152
oct21611237167000
94281600282276
101221020413440
11430917211903
12178785323680
138b1ac4c9179
1443152152ad2
1521b6531b310
hex11c4a7cee00

1221020413440 has 80 divisors (see below), whose sum is σ = 3903449658768. Its totient is φ = 325605441536.

The previous prime is 1221020413427. The next prime is 1221020413489. The reversal of 1221020413440 is 443140201221.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1221020413440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79485837 + ... + 79501196.

Almost surely, 21221020413440 is an apocalyptic number.

1221020413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221020413440 is an abundant number, since it is smaller than the sum of its proper divisors (2682429245328).

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

1221020413440 is an equidigital number, since it uses as much as digits as its factorization.

1221020413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158987059 (or 158987043 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1221020413440 its reverse (443140201221), we get a palindrome (1664160614661).

The spelling of 1221020413440 in words is "one trillion, two hundred twenty-one billion, twenty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 158987033 317974066 476961099 635948132 794935165 953922198 1271896264 1589870330 1907844396 2384805495 2543792528 3179740660 3815688792 4769610990 5087585056 6359481320 7631377584 9539221980 10175170112 12718962640 15262755168 19078443960 20350340224 25437925280 30525510336 38156887920 40700680448 50875850560 61051020672 76313775840 81401360896 101751701120 122102041344 152627551680 203503402240 244204082688 305255103360 407006804480 610510206720 1221020413440