Search a number
-
+
1202222021120 = 2953141369487
BaseRepresentation
bin10001011111101010000…
…001000011101000000000
311020221010220211110220222
4101133222001003220000
5124144122314133440
62320143154122212
7152600116366511
oct21375201035000
94227126743828
101202222021120
1142394aa9748a
12174bb9880368
13894a4a596c3
144228b698a08
1521414d072b5
hex117ea043a00

1202222021120 has 160 divisors (see below), whose sum is σ = 3048080910336. Its totient is φ = 454024396800.

The previous prime is 1202222021107. The next prime is 1202222021131. The reversal of 1202222021120 is 211202222021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×12022220211204 (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069017 + ... + 3438503.

Almost surely, 21202222021120 is an apocalyptic number.

1202222021120 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 1202222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524040455168).

1202222021120 is an abundant number, since it is smaller than the sum of its proper divisors (1845858889216).

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

1202222021120 is an equidigital number, since it uses as much as digits as its factorization.

1202222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369582 (or 369566 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1202222021120 its reverse (211202222021), we get a palindrome (1413424243141).

The spelling of 1202222021120 in words is "one trillion, two hundred two billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 128 155 160 164 205 248 256 310 320 328 410 496 512 620 640 656 820 992 1240 1271 1280 1312 1640 1984 2480 2542 2560 2624 3280 3968 4960 5084 5248 6355 6560 7936 9920 10168 10496 12710 13120 15872 19840 20336 20992 25420 26240 39680 40672 50840 52480 79360 81344 101680 104960 162688 203360 325376 369487 406720 650752 738974 813440 1477948 1626880 1847435 2955896 3253760 3694870 5911792 7389740 11454097 11823584 14779480 15148967 22908194 23647168 29558960 30297934 45816388 47294336 57270485 59117920 60595868 75744835 91632776 94588672 114540970 118235840 121191736 151489670 183265552 189177344 229081940 236471680 242383472 302979340 366531104 458163880 469617977 472943360 484766944 605958680 733062208 916327760 939235954 945886720 969533888 1211917360 1466124416 1832655520 1878471908 1939067776 2348089885 2423834720 2932248832 3665311040 3756943816 3878135552 4696179770 4847669440 5864497664 7330622080 7513887632 7756271104 9392359540 9695338880 14661244160 15027775264 18784719080 19390677760 29322488320 30055550528 37569438160 38781355520 60111101056 75138876320 120222202112 150277752640 240444404224 300555505280 601111010560 1202222021120