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1121202101120 = 27523120163421
BaseRepresentation
bin10000010100001100110…
…110100101101110000000
310222012000111120002201012
4100110030312211232000
5121332210214213440
62215023444100052
7144001301420303
oct20241466455600
93865014502635
101121202101120
113a25543a1412
12161368394628
138196253183a
143c3a32a8b3a
151e27201ee65
hex1050cda5b80

1121202101120 has 128 divisors (see below), whose sum is σ = 2799284719680. Its totient is φ = 428617728000.

The previous prime is 1121202101111. The next prime is 1121202101147. The reversal of 1121202101120 is 211012021211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1121202101095 and 1121202101104.

It is a congruent number.

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, 17647010 + ... + 17710430.

Almost surely, 21121202101120 is an apocalyptic number.

1121202101120 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 1121202101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399642359840).

1121202101120 is an abundant number, since it is smaller than the sum of its proper divisors (1678082618560).

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

1121202101120 is a wasteful number, since it uses less digits than its factorization.

1121202101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64664 (or 64652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1121202101120 its reverse (211012021211), we get a palindrome (1332214122331).

The spelling of 1121202101120 in words is "one trillion, one hundred twenty-one billion, two hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1201 1472 1840 2402 2944 3680 4804 6005 7360 9608 12010 14720 19216 24020 27623 38432 48040 55246 63421 76864 96080 110492 126842 138115 153728 192160 220984 253684 276230 317105 384320 441968 507368 552460 634210 768640 883936 1014736 1104920 1268420 1458683 1767872 2029472 2209840 2536840 2917366 3535744 4058944 4419680 5073680 5834732 7293415 8117888 8839360 10147360 11669464 14586830 17678720 20294720 23338928 29173660 40589440 46677856 58347320 76168621 93355712 116694640 152337242 186711424 233389280 304674484 380843105 466778560 609348968 761686210 933557120 1218697936 1523372420 1751878283 2437395872 3046744840 3503756566 4874791744 6093489680 7007513132 8759391415 9749583488 12186979360 14015026264 17518782830 24373958720 28030052528 35037565660 48747917440 56060105056 70075131320 112120210112 140150262640 224240420224 280300525280 560601050560 1121202101120