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121133002000 = 2453405114951
BaseRepresentation
bin111000011010000010…
…1101110110100010000
3102120122222010002001111
41300310011232310100
53441040022031000
6131351524343104
711515534346143
oct1606405566420
9376588102044
10121133002000
114741047030a
121b587244a94
13b565b5155a
145c119d605a
15323e6a9cba
hex1c3416ed10

121133002000 has 80 divisors (see below), whose sum is σ = 292991497344. Its totient is φ = 48438000000.

The previous prime is 121133001991. The next prime is 121133002013. The reversal of 121133002000 is 200331121.

121133002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 8094525 + ... + 8109475.

Almost surely, 2121133002000 is an apocalyptic number.

121133002000 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 121133002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146495748672).

121133002000 is an abundant number, since it is smaller than the sum of its proper divisors (171858495344).

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

121133002000 is a wasteful number, since it uses less digits than its factorization.

121133002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19025 (or 19009 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 121133002000 its reverse (200331121), we get a palindrome (121333333121).

The spelling of 121133002000 in words is "one hundred twenty-one billion, one hundred thirty-three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4051 8102 14951 16204 20255 29902 32408 40510 59804 64816 74755 81020 101275 119608 149510 162040 202550 239216 299020 324080 373775 405100 506375 598040 747550 810200 1012750 1196080 1495100 1620400 1868875 2025500 2990200 3737750 4051000 5980400 7475500 8102000 14951000 29902000 60566501 121133002 242266004 302832505 484532008 605665010 969064016 1211330020 1514162525 2422660040 3028325050 4845320080 6056650100 7570812625 12113300200 15141625250 24226600400 30283250500 60566501000 121133002000